101021220202100 has 144 divisors (see below), whose sum is σ = 239362644143616. Its totient is φ = 36701536752000.

The previous prime is 101021220202057. The next prime is 101021220202103. The reversal of 101021220202100 is 1202022120101.

It is a super-2 number, since 2×101021220202100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021220202103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11112218555 + ... + 11112227645.

Almost surely, 2^{101021220202100} is an apocalyptic number.

101021220202100 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 101021220202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119681322071808).

101021220202100 is an abundant number, since it is smaller than the sum of its proper divisors (138341423941516).

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

101021220202100 is a wasteful number, since it uses less digits than its factorization.

101021220202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17206 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101021220202100 its reverse (1202022120101), we get a palindrome (102223242322201).

The spelling of 101021220202100 in words is "one hundred one trillion, twenty-one billion, two hundred twenty million, two hundred two thousand, one hundred".