100020210120 has 192 divisors, whose sum is σ = 333522025200. Its totient is φ = 25980272640.

The previous prime is 100020210113. The next prime is 100020210137. The reversal of 100020210120 is 21012020001.

It can be written as a sum of positive squares in 8 ways, for example, as 4565164356 + 95455045764 = 67566^2 + 308958^2 .

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

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, 9928446 + ... + 9938514.

Almost surely, 2^100020210120 is an apocalyptic number.

100020210120 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 100020210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166761012600).

100020210120 is an abundant number, since it is smaller than the sum of its proper divisors (233501815080).

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

100020210120 is a wasteful number, since it uses less digits than its factorization.

100020210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020210120 its reverse (21012020001), we get a palindrome (121032230121).

The spelling of 100020210120 in words is "one hundred billion, twenty million, two hundred ten thousand, one hundred twenty".