101212102132113 has 12 divisors (see below), whose sum is σ = 156982035960240. Its totient is φ = 57835486932552.

The previous prime is 101212102132021. The next prime is 101212102132129. The reversal of 101212102132113 is 311231201212101.

It is not a de Polignac number, because 101212102132113 - 2¹⁶ = 101212102066577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101212102132113.

It is not an unprimeable number, because it can be changed into a prime (101212102132133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344258850643 + ... + 344258850936.

It is an arithmetic number, because the mean of its divisors is an integer number (13081836330020).

Almost surely, 2^{101212102132113} is an apocalyptic number.

It is an amenable number.

101212102132113 is a deficient number, since it is larger than the sum of its proper divisors (55769933828127).

101212102132113 is an equidigital number, since it uses as much as digits as its factorization.

101212102132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688517701596 (or 688517701589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101212102132113 its reverse (311231201212101), we get a palindrome (412443303344214).

The spelling of 101212102132113 in words is "one hundred one trillion, two hundred twelve billion, one hundred two million, one hundred thirty-two thousand, one hundred thirteen".