100021200120 has 96 divisors (see below), whose sum is σ = 325411117200. Its totient is φ = 26644240896.

The previous prime is 100021200079. The next prime is 100021200151. The reversal of 100021200120 is 21002120001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197311 + ... + 488849.

Almost surely, 2^100021200120 is an apocalyptic number.

100021200120 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 100021200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162705558600).

100021200120 is an abundant number, since it is smaller than the sum of its proper divisors (225389917080).

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

100021200120 is a wasteful number, since it uses less digits than its factorization.

100021200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292509 (or 292502 counting only the distinct ones).

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

Adding to 100021200120 its reverse (21002120001), we get a palindrome (121023320121).

The spelling of 100021200120 in words is "one hundred billion, twenty-one million, two hundred thousand, one hundred twenty".