101313102100 has 72 divisors (see below), whose sum is σ = 254795442048. Its totient is φ = 34246665600.

The previous prime is 101313102091. The next prime is 101313102103. The reversal of 101313102100 is 1201313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969547 + ... + 1068946.

It is an arithmetic number, because the mean of its divisors is an integer number (3538825584).

Almost surely, 2^101313102100 is an apocalyptic number.

101313102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313102100 is an abundant number, since it is smaller than the sum of its proper divisors (153482339948).

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

101313102100 is a wasteful number, since it uses less digits than its factorization.

101313102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038585 (or 2038578 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101313102100 its reverse (1201313101), we get a palindrome (102514415201).

The spelling of 101313102100 in words is "one hundred one billion, three hundred thirteen million, one hundred two thousand, one hundred".