102111020111201 has 32 divisors (see below), whose sum is σ = 112348569231360. Its totient is φ = 92457335367936.

The previous prime is 102111020111119. The next prime is 102111020111207.

102111020111201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-102111020111201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111020111207) 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, 184691960 + ... + 185244006.

It is an arithmetic number, because the mean of its divisors is an integer number (3510892788480).

Almost surely, 2^{102111020111201} is an apocalyptic number.

It is an amenable number.

102111020111201 is a deficient number, since it is larger than the sum of its proper divisors (10237549120159).

102111020111201 is a wasteful number, since it uses less digits than its factorization.

102111020111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556973.

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

The spelling of 102111020111201 in words is "one hundred two trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, two hundred one".