102202122211211 has 64 divisors (see below), whose sum is σ = 114461732136960. Its totient is φ = 90477441600000.

The previous prime is 102202122211169. The next prime is 102202122211223. The reversal of 102202122211211 is 112112221202201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202122211211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102202122213211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28732672445 + ... + 28732676001.

It is an arithmetic number, because the mean of its divisors is an integer number (1788464564640).

Almost surely, 2^{102202122211211} is an apocalyptic number.

102202122211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102202122211211 is a deficient number, since it is larger than the sum of its proper divisors (12259609925749).

102202122211211 is a wasteful number, since it uses less digits than its factorization.

102202122211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102202122211211 its reverse (112112221202201), we get a palindrome (214314343413412).

It can be divided in two parts, 1022021 and 22211211, that added together give a palindrome (23233232).

The spelling of 102202122211211 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred eleven".