101022013133300 has 72 divisors (see below), whose sum is σ = 250695297390720. Its totient is φ = 34613901532800.

The previous prime is 101022013133291. The next prime is 101022013133303. The reversal of 101022013133300 is 3331310220101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022013133303) 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, 45193871 + ... + 47376470.

Almost surely, 2^{101022013133300} is an apocalyptic number.

101022013133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022013133300 is an abundant number, since it is smaller than the sum of its proper divisors (149673284257420).

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

101022013133300 is a wasteful number, since it uses less digits than its factorization.

101022013133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92571921 (or 92571914 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101022013133300 its reverse (3331310220101), we get a palindrome (104353323353401).

The spelling of 101022013133300 in words is "one hundred one trillion, twenty-two billion, thirteen million, one hundred thirty-three thousand, three hundred".