101013031210200 has 192 divisors, whose sum is σ = 323270004588960. Its totient is φ = 26072988549120.

The previous prime is 101013031210187. The next prime is 101013031210211. The reversal of 101013031210200 is 2012130310101.

It is a happy number.

101013031210200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 101013031210200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7503319 + ... + 16072518.

Almost surely, 2^{101013031210200} is an apocalyptic number.

101013031210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013031210200 is an abundant number, since it is smaller than the sum of its proper divisors (222256973378760).

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

101013031210200 is a wasteful number, since it uses less digits than its factorization.

101013031210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23576086 (or 23576077 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101013031210200 its reverse (2012130310101), we get a palindrome (103025161520301).

Subtracting from 101013031210200 its reverse (2012130310101), we obtain a palindrome (99000900900099).

The spelling of 101013031210200 in words is "one hundred one trillion, thirteen billion, thirty-one million, two hundred ten thousand, two hundred".