102112111120101 has 32 divisors (see below), whose sum is σ = 139643900913792. Its totient is φ = 66335160729600.

The previous prime is 102112111120069. The next prime is 102112111120127. The reversal of 102112111120101 is 101021111211201.

It is not a de Polignac number, because 102112111120101 - 2⁵ = 102112111120069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112111120601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99589951 + ... + 100610051.

It is an arithmetic number, because the mean of its divisors is an integer number (4363871903556).

Almost surely, 2^{102112111120101} is an apocalyptic number.

It is an amenable number.

102112111120101 is a deficient number, since it is larger than the sum of its proper divisors (37531789793691).

102112111120101 is a wasteful number, since it uses less digits than its factorization.

102112111120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021973.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102112111120101 its reverse (101021111211201), we get a palindrome (203133222331302).

The spelling of 102112111120101 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty thousand, one hundred one".