102201252252311 has 16 divisors (see below), whose sum is σ = 108302695855200. Its totient is φ = 96109773281280.

The previous prime is 102201252252271. The next prime is 102201252252313. The reversal of 102201252252311 is 113252252102201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201252252311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201252252313) 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, 416581421 + ... + 416826681.

It is an arithmetic number, because the mean of its divisors is an integer number (6768918490950).

Almost surely, 2^{102201252252311} is an apocalyptic number.

102201252252311 is a deficient number, since it is larger than the sum of its proper divisors (6101443602889).

102201252252311 is a wasteful number, since it uses less digits than its factorization.

102201252252311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265474.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 102201252252311 in words is "one hundred two trillion, two hundred one billion, two hundred fifty-two million, two hundred fifty-two thousand, three hundred eleven".