102112133101211 has 16 divisors (see below), whose sum is σ = 103242641967360. Its totient is φ = 100987647976800.

The previous prime is 102112133101207. The next prime is 102112133101259. The reversal of 102112133101211 is 112101331211201.

It is a cyclic number.

It is not a de Polignac number, because 102112133101211 - 2² = 102112133101207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112133106211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770457596 + ... + 770590118.

It is an arithmetic number, because the mean of its divisors is an integer number (6452665122960).

Almost surely, 2^{102112133101211} is an apocalyptic number.

102112133101211 is a deficient number, since it is larger than the sum of its proper divisors (1130508866149).

102112133101211 is a wasteful number, since it uses less digits than its factorization.

102112133101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155186.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 102112133101211 its reverse (112101331211201), we get a palindrome (214213464312412).

The spelling of 102112133101211 in words is "one hundred two trillion, one hundred twelve billion, one hundred thirty-three million, one hundred one thousand, two hundred eleven".