101310221102100 has 144 divisors (see below), whose sum is σ = 298662503626368. Its totient is φ = 26505645903360.

The previous prime is 101310221102081. The next prime is 101310221102107. The reversal of 101310221102100 is 1201122013101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101310221102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310221102107) 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 in 47 ways as a sum of consecutive naturals, for example, 1049940057 + ... + 1050036543.

It is an arithmetic number, because the mean of its divisors is an integer number (2074045164072).

Almost surely, 2^{101310221102100} is an apocalyptic number.

101310221102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101310221102100 is an abundant number, since it is smaller than the sum of its proper divisors (197352282524268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101310221102100 is a wasteful number, since it uses less digits than its factorization.

101310221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162594 (or 162587 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101310221102100 its reverse (1201122013101), we get a palindrome (102511343115201).

The spelling of 101310221102100 in words is "one hundred one trillion, three hundred ten billion, two hundred twenty-one million, one hundred two thousand, one hundred".