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102201221001022 = 211132941569528197
BaseRepresentation
bin10111001111001110010011…
…011110010010111100111110
3111101212100012210222100021021
4113033032103132102330332
5101343431100034013042
61001210332012054354
730345536350011133
oct2717162336227476
9441770183870237
10102201221001022
112a623326969310
12b5673461643ba
1345046c29648a0
141b347cb9bc58a
15bc374d009867
hex5cf393792f3e

102201221001022 has 128 divisors (see below), whose sum is σ = 191193309014400. Its totient is φ = 40322060083200.

The previous prime is 102201221001013. The next prime is 102201221001031. The reversal of 102201221001022 is 220100122102201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102201221001013) and next prime (102201221001031).

It is a junction number, because it is equal to n+sod(n) for n = 102201221000987 and 102201221001005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193226628 + ... + 193754824.

It is an arithmetic number, because the mean of its divisors is an integer number (1493697726675).

Almost surely, 2102201221001022 is an apocalyptic number.

102201221001022 is a deficient number, since it is larger than the sum of its proper divisors (88992088013378).

102201221001022 is a wasteful number, since it uses less digits than its factorization.

102201221001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528862.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102201221001022 its reverse (220100122102201), we get a palindrome (322301343103223).

The spelling of 102201221001022 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, one thousand, twenty-two".

Divisors: 1 2 11 13 22 26 29 41 58 82 143 286 319 377 451 533 569 638 754 902 1066 1138 1189 2378 4147 5863 6259 7397 8294 11726 12518 13079 14794 15457 16501 23329 26158 30914 33002 46658 81367 162734 170027 181511 214513 256619 303277 340054 363022 429026 513238 528197 606554 676541 1056394 1353082 2359643 3336047 4719286 5810167 6672094 6866561 7441951 8795033 11620334 13733122 14883902 15317713 17590066 21656077 30635426 43312154 75532171 96745363 151064342 168494843 193490726 199130269 238216847 281529001 300544093 336989686 398260538 476433694 563058002 601088186 628026233 1256052466 2190432959 3096819011 3305985023 3907073209 4380865918 6193638022 6611970046 6908288563 7814146418 8164341029 8715778697 12322307813 13816577126 16328682058 17431557394 24644615626 42977805299 85955610598 89807751319 95873565667 113305123061 135545385943 160190001569 179615502638 191747131334 226610246122 271090771886 320380003138 357346926577 714693853154 1246356353671 1762090017259 2492712707342 3524180034518 3930816192347 4645510045501 7861632384694 9291020091002 51100610500511 102201221001022