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102221021022021 = 32117131745876197
BaseRepresentation
bin10111001111100000101111…
…101001011000011101000101
3111101221020022201012121220100
4113033200233221120131011
5101344242122340201041
61001223404435154313
730350140123265646
oct2717405751303505
9441836281177810
10102221021022021
112a63076751a130
12b56b151145999
134506529a91945
141b357494c96cd
15bc400b4226b6
hex5cf82fa58745

102221021022021 has 48 divisors (see below), whose sum is σ = 163859502987648. Its totient is φ = 60886887331200.

The previous prime is 102221021021947. The next prime is 102221021022079. The reversal of 102221021022021 is 120220120122201.

It is a happy number.

102221021022021 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 210 + 210 + 220 + 21 = 666.

It is not a de Polignac number, because 102221021022021 - 210 = 102221021020997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221021021985 and 102221021022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221021022821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20709906 + ... + 25166291.

It is an arithmetic number, because the mean of its divisors is an integer number (3413739645576).

Almost surely, 2102221021022021 is an apocalyptic number.

102221021022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221021022021 is a deficient number, since it is larger than the sum of its proper divisors (61638481965627).

102221021022021 is a wasteful number, since it uses less digits than its factorization.

102221021022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45876602 (or 45876599 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221021022021 its reverse (120220120122201), we get a palindrome (222441141144222).

The spelling of 102221021022021 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-one million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 71 99 213 317 639 781 951 2343 2853 3487 7029 10461 22507 31383 67521 202563 247577 742731 2228193 45876197 137628591 412885773 504638167 1513914501 3257209987 4541743503 9771629961 14542754449 29314889883 35829309857 43628263347 107487929571 130884790041 159970298939 322463788713 479910896817 1032535565879 1439732690451 3097606697637 9292820092911 11357891224669 34073673674007 102221021022021