102201002121213 has 48 divisors (see below), whose sum is σ = 160303519696320. Its totient is φ = 62493424261632.

The previous prime is 102201002121109. The next prime is 102201002121269. The reversal of 102201002121213 is 312121200102201.

102201002121213 is a `hidden beast` number, since 10 + 220 + 10 + 0 + 212 + 1 + 213 = 666.

It is not a de Polignac number, because 102201002121213 - 2¹⁴ = 102201002104829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201002121613) 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, 14618718 + ... + 20447711.

It is an arithmetic number, because the mean of its divisors is an integer number (3339656660340).

Almost surely, 2^{102201002121213} is an apocalyptic number.

It is an amenable number.

102201002121213 is a deficient number, since it is larger than the sum of its proper divisors (58102517575107).

102201002121213 is a wasteful number, since it uses less digits than its factorization.

102201002121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35066938 (or 35066935 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102201002121213 its reverse (312121200102201), we get a palindrome (414322202223414).

The spelling of 102201002121213 in words is "one hundred two trillion, two hundred one billion, two million, one hundred twenty-one thousand, two hundred thirteen".