101020300132200 has 384 divisors, whose sum is σ = 323267227430400. Its totient is φ = 26081610347520.

The previous prime is 101020300132181. The next prime is 101020300132217. The reversal of 101020300132200 is 2231003020101.

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 101020300132200.

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, 1341123739 + ... + 1341199061.

It is an arithmetic number, because the mean of its divisors is an integer number (841841738100).

Almost surely, 2^{101020300132200} is an apocalyptic number.

101020300132200 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 101020300132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161633613715200).

101020300132200 is an abundant number, since it is smaller than the sum of its proper divisors (222246927298200).

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

101020300132200 is a wasteful number, since it uses less digits than its factorization.

101020300132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75841 (or 75832 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101020300132200 its reverse (2231003020101), we get a palindrome (103251303152301).

The spelling of 101020300132200 in words is "one hundred one trillion, twenty billion, three hundred million, one hundred thirty-two thousand, two hundred".