100200022020 has 144 divisors (see below), whose sum is σ = 347742071040. Its totient is φ = 22877676288.

The previous prime is 100200021989. The next prime is 100200022079. The reversal of 100200022020 is 20220002001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100200021993 and 100200022011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114674 + ... + 1201206.

Almost surely, 2^100200022020 is an apocalyptic number.

100200022020 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 100200022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173871035520).

100200022020 is an abundant number, since it is smaller than the sum of its proper divisors (247542049020).

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

100200022020 is a wasteful number, since it uses less digits than its factorization.

100200022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87474 (or 87469 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100200022020 its reverse (20220002001), we get a palindrome (120420024021).

The spelling of 100200022020 in words is "one hundred billion, two hundred million, twenty-two thousand, twenty".