101200102131311 has 2 divisors, whose sum is σ = 101200102131312. Its totient is φ = 101200102131310.

The previous prime is 101200102131283. The next prime is 101200102131329. The reversal of 101200102131311 is 113131201002101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101200102131311 - 2²⁶ = 101200035022447 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101200102131311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200132131311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600051065655 + 50600051065656.

It is an arithmetic number, because the mean of its divisors is an integer number (50600051065656).

Almost surely, 2^{101200102131311} is an apocalyptic number.

101200102131311 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200102131311 is an equidigital number, since it uses as much as digits as its factorization.

101200102131311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101200102131311 its reverse (113131201002101), we get a palindrome (214331303133412).

The spelling of 101200102131311 in words is "one hundred one trillion, two hundred billion, one hundred two million, one hundred thirty-one thousand, three hundred eleven".