102112111321101 has 48 divisors (see below), whose sum is σ = 177439188326400. Its totient is φ = 55278342165024.

The previous prime is 102112111321069. The next prime is 102112111321109. The reversal of 102112111321101 is 101123111211201.

102112111321101 is a `hidden beast` number, since 1 + 0 + 211 + 21 + 11 + 321 + 101 = 666.

It is not a de Polignac number, because 102112111321101 - 2⁵ = 102112111321069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112111321109) 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, 260854560 + ... + 261245718.

It is an arithmetic number, because the mean of its divisors is an integer number (3696649756800).

Almost surely, 2^{102112111321101} is an apocalyptic number.

It is an amenable number.

102112111321101 is a deficient number, since it is larger than the sum of its proper divisors (75327077005299).

102112111321101 is a wasteful number, since it uses less digits than its factorization.

102112111321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609278 (or 609275 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 102112111321101 its reverse (101123111211201), we get a palindrome (203235222532302).

The spelling of 102112111321101 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, three hundred twenty-one thousand, one hundred one".