101513058100 has 36 divisors (see below), whose sum is σ = 224970225984. Its totient is φ = 39741280480.

The previous prime is 101513058077. The next prime is 101513058133. The reversal of 101513058100 is 1850315101.

101513058100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101513058100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 10794562 + ... + 10803961.

It is an arithmetic number, because the mean of its divisors is an integer number (6249172944).

Almost surely, 2^101513058100 is an apocalyptic number.

101513058100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101513058100 is an abundant number, since it is smaller than the sum of its proper divisors (123457167884).

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

101513058100 is a wasteful number, since it uses less digits than its factorization.

101513058100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21598584 (or 21598577 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 101513058100 in words is "one hundred one billion, five hundred thirteen million, fifty-eight thousand, one hundred".