120100120100 has 72 divisors (see below), whose sum is σ = 263443383336. Its totient is φ = 47520000000.

The previous prime is 120100120097. The next prime is 120100120111. The reversal of 120100120100 is 1021001021.

It can be written as a sum of positive squares in 12 ways, for example, as 12015667456 + 108084452644 = 109616^2 + 328762^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12125150 + ... + 12135050.

Almost surely, 2^120100120100 is an apocalyptic number.

120100120100 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 120100120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131721691668).

120100120100 is an abundant number, since it is smaller than the sum of its proper divisors (143343263236).

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

120100120100 is a wasteful number, since it uses less digits than its factorization.

120100120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11217 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120100120100 its reverse (1021001021), we get a palindrome (121121121121).

The spelling of 120100120100 in words is "one hundred twenty billion, one hundred million, one hundred twenty thousand, one hundred".