120120110100 has 108 divisors (see below), whose sum is σ = 378481608960. Its totient is φ = 31864276800.

The previous prime is 120120110087. The next prime is 120120110107. The reversal of 120120110100 is 1011021021.

It is a happy number.

It is a super-2 number, since 2×120120110100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177490 + ... + 521289.

Almost surely, 2^120120110100 is an apocalyptic number.

120120110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120110100 is an abundant number, since it is smaller than the sum of its proper divisors (258361498860).

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

120120110100 is a wasteful number, since it uses less digits than its factorization.

120120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698990 (or 698980 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120120110100 its reverse (1011021021), we get a palindrome (121131131121).

The spelling of 120120110100 in words is "one hundred twenty billion, one hundred twenty million, one hundred ten thousand, one hundred".