102312222213201 has 48 divisors (see below), whose sum is σ = 184547920271232. Its totient is φ = 49060805840640.

The previous prime is 102312222213127. The next prime is 102312222213203.

102312222213201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102312222213201 - 2⁹ = 102312222212689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102312222213203) 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, 1548603516 + ... + 1548669581.

It is an arithmetic number, because the mean of its divisors is an integer number (3844748338984).

Almost surely, 2^{102312222213201} is an apocalyptic number.

102312222213201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102312222213201 is a deficient number, since it is larger than the sum of its proper divisors (82235698058031).

102312222213201 is a wasteful number, since it uses less digits than its factorization.

102312222213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097273142 (or 3097273131 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 102312222213201 in words is "one hundred two trillion, three hundred twelve billion, two hundred twenty-two million, two hundred thirteen thousand, two hundred one".