102112111020101 has 32 divisors (see below), whose sum is σ = 126479987639040. Its totient is φ = 80275461267456.

The previous prime is 102112111020091. The next prime is 102112111020119. The reversal of 102112111020101 is 101020111211201.

It is not a de Polignac number, because 102112111020101 - 2¹⁸ = 102112110757957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112111020151) by changing a digit.

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, 981993530 + ... + 982097508.

It is an arithmetic number, because the mean of its divisors is an integer number (3952499613720).

Almost surely, 2^{102112111020101} is an apocalyptic number.

It is an amenable number.

102112111020101 is a deficient number, since it is larger than the sum of its proper divisors (24367876618939).

102112111020101 is a wasteful number, since it uses less digits than its factorization.

102112111020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172893.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102112111020101 its reverse (101020111211201), we get a palindrome (203132222231302).

The spelling of 102112111020101 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, twenty thousand, one hundred one".