102112010211211 has 32 divisors (see below), whose sum is σ = 139899428928000. Its totient is φ = 73447200116640.

The previous prime is 102112010211151. The next prime is 102112010211251. The reversal of 102112010211211 is 112112010211201.

It is not a de Polignac number, because 102112010211211 - 2¹⁹ = 102112009686923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112010211251) 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, 1040869321 + ... + 1040967418.

It is an arithmetic number, because the mean of its divisors is an integer number (4371857154000).

Almost surely, 2^{102112010211211} is an apocalyptic number.

102112010211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102112010211211 is a deficient number, since it is larger than the sum of its proper divisors (37787418716789).

102112010211211 is a wasteful number, since it uses less digits than its factorization.

102112010211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081836784 (or 2081836770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 102112010211211 its reverse (112112010211201), we get a palindrome (214224020422412).

The spelling of 102112010211211 in words is "one hundred two trillion, one hundred twelve billion, ten million, two hundred eleven thousand, two hundred eleven".