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10120012101122 = 2711314151702883
BaseRepresentation
bin1001001101000011111110…
…1110011111011000000010
31022211110112001011122221112
42103100333232133120002
52311301241044213442
633305022552523322
72063101222360040
oct223207756373002
938743461148845
1010120012101122
113251967003970
1211753ab6b0542
1358540b9bb901
1426db4dd05390
151283a0ed9082
hex9343fb9f602

10120012101122 has 64 divisors (see below), whose sum is σ = 20012738715648. Its totient is φ = 3722607504000.

The previous prime is 10120012101011. The next prime is 10120012101149. The reversal of 10120012101122 is 22110121002101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10120012101097 and 10120012101106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25655708 + ... + 26047175.

It is an arithmetic number, because the mean of its divisors is an integer number (312699042432).

Almost surely, 210120012101122 is an apocalyptic number.

10120012101122 is a deficient number, since it is larger than the sum of its proper divisors (9892726614526).

10120012101122 is a wasteful number, since it uses less digits than its factorization.

10120012101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51702975.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120012101122 its reverse (22110121002101), we get a palindrome (32230133103223).

The spelling of 10120012101122 in words is "ten trillion, one hundred twenty billion, twelve million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 31 41 62 77 82 154 217 287 341 434 451 574 682 902 1271 2387 2542 3157 4774 6314 8897 13981 17794 27962 97867 195734 51702883 103405766 361920181 568731713 723840362 1137463426 1602789373 2119818203 3205578746 3981121991 4239636406 7962243982 11219525611 14838727421 17630683103 22439051222 23318000233 29677454842 35261366206 46636000466 65714364293 123414781721 131428728586 163226001631 246829563442 326452003262 460000550051 722858007223 920001100102 1445716014446 5060006050561 10120012101122