102012222210201 has 24 divisors (see below), whose sum is σ = 150511525806720. Its totient is φ = 66549926884896.

The previous prime is 102012222210149. The next prime is 102012222210209.

It is a happy number.

102012222210201 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 222 + 221 + 0 + 201 = 666.

102012222210201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102012222210201 - 2³⁰ = 102011148468377 is a prime.

It is a super-3 number, since 3×102012222210201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102012222210209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17852806 + ... + 22863663.

It is an arithmetic number, because the mean of its divisors is an integer number (6271313575280).

Almost surely, 2^{102012222210201} is an apocalyptic number.

It is an amenable number.

102012222210201 is a deficient number, since it is larger than the sum of its proper divisors (48499303596519).

102012222210201 is a wasteful number, since it uses less digits than its factorization.

102012222210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40722445 (or 40722442 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 102012222210201 in words is "one hundred two trillion, twelve billion, two hundred twenty-two million, two hundred ten thousand, two hundred one".