102112222211201 has 32 divisors (see below), whose sum is σ = 106321344899328. Its totient is φ = 98027253734400.

The previous prime is 102112222211177. The next prime is 102112222211227.

102112222211201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102112222211201 - 2⁶ = 102112222211137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112222211261) 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, 103549670 + ... + 104531136.

It is an arithmetic number, because the mean of its divisors is an integer number (3322542028104).

Almost surely, 2^{102112222211201} is an apocalyptic number.

It is an amenable number.

102112222211201 is a deficient number, since it is larger than the sum of its proper divisors (4209122688127).

102112222211201 is a wasteful number, since it uses less digits than its factorization.

102112222211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981881.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 102112222211201 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred one".