120020120100 has 108 divisors (see below), whose sum is σ = 377222495104. Its totient is φ = 31918069440.

The previous prime is 120020120063. The next prime is 120020120111. The reversal of 120020120100 is 1021020021.

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 35 ways as a sum of consecutive naturals, for example, 148617 + ... + 511983.

Almost surely, 2^120020120100 is an apocalyptic number.

120020120100 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 120020120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188611247552).

120020120100 is an abundant number, since it is smaller than the sum of its proper divisors (257202375004).

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

120020120100 is a wasteful number, since it uses less digits than its factorization.

120020120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363754 (or 363744 counting only the distinct ones).

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

Adding to 120020120100 its reverse (1021020021), we get a palindrome (121041140121).

The spelling of 120020120100 in words is "one hundred twenty billion, twenty million, one hundred twenty thousand, one hundred".