102112202120211 has 24 divisors (see below), whose sum is σ = 149382195668160. Its totient is φ = 67204202083200.

The previous prime is 102112202120179. The next prime is 102112202120237. The reversal of 102112202120211 is 112021202211201.

102112202120211 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 220 + 212 + 0 + 211 = 666.

It is not a de Polignac number, because 102112202120211 - 2⁵ = 102112202120179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112202122211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4121400 + ... + 14873141.

It is an arithmetic number, because the mean of its divisors is an integer number (6224258152840).

Almost surely, 2^{102112202120211} is an apocalyptic number.

102112202120211 is a deficient number, since it is larger than the sum of its proper divisors (47269993547949).

102112202120211 is a wasteful number, since it uses less digits than its factorization.

102112202120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19002187 (or 19002184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112202120211 its reverse (112021202211201), we get a palindrome (214133404331412).

The spelling of 102112202120211 in words is "one hundred two trillion, one hundred twelve billion, two hundred two million, one hundred twenty thousand, two hundred eleven".