102212303212201 has 32 divisors (see below), whose sum is σ = 127058244638976. Its totient is φ = 80062408800000.

The previous prime is 102212303212193. The next prime is 102212303212211.

102212303212201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102212303212201 - 2³ = 102212303212193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102212303212211) 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, 90438486 + ... + 91561696.

It is an arithmetic number, because the mean of its divisors is an integer number (3970570144968).

Almost surely, 2^{102212303212201} is an apocalyptic number.

It is an amenable number.

102212303212201 is a deficient number, since it is larger than the sum of its proper divisors (24845941426775).

102212303212201 is a wasteful number, since it uses less digits than its factorization.

102212303212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133233.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 10221230 and 3212201, that added together give a palindrome (13433431).

The spelling of 102212303212201 in words is "one hundred two trillion, two hundred twelve billion, three hundred three million, two hundred twelve thousand, two hundred one".