101331100200 has 384 divisors, whose sum is σ = 363962419200. Its totient is φ = 23063040000.

The previous prime is 101331100183. The next prime is 101331100217. The reversal of 101331100200 is 2001133101.

It is an interprime number because it is at equal distance from previous prime (101331100183) and next prime (101331100217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14166625 + ... + 14173775.

It is an arithmetic number, because the mean of its divisors is an integer number (947818800).

Almost surely, 2^101331100200 is an apocalyptic number.

101331100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101331100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181981209600).

101331100200 is an abundant number, since it is smaller than the sum of its proper divisors (262631319000).

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

101331100200 is a wasteful number, since it uses less digits than its factorization.

101331100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101331100200 its reverse (2001133101), we get a palindrome (103332233301).

The spelling of 101331100200 in words is "one hundred one billion, three hundred thirty-one million, one hundred thousand, two hundred".