120130010100 has 108 divisors (see below), whose sum is σ = 378939637804. Its totient is φ = 31830589440.

The previous prime is 120130010087. The next prime is 120130010167. The reversal of 120130010100 is 1010031021.

It can be written as a sum of positive squares in 6 ways, for example, as 1113289956 + 119016720144 = 33366^2 + 344988^2 .

It is a super-2 number, since 2×120130010100² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 283789 + ... + 566388.

Almost surely, 2^120130010100 is an apocalyptic number.

120130010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120130010100 is an abundant number, since it is smaller than the sum of its proper divisors (258809627704).

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

120130010100 is a wasteful number, since it uses less digits than its factorization.

120130010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850354 (or 850344 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 120130010100 its reverse (1010031021), we get a palindrome (121140041121).

The spelling of 120130010100 in words is "one hundred twenty billion, one hundred thirty million, ten thousand, one hundred".