120013013100 has 72 divisors (see below), whose sum is σ = 347315301648. Its totient is φ = 31996313600.

The previous prime is 120013013077. The next prime is 120013013123. The reversal of 120013013100 is 1310310021.

It is an interprime number because it is at equal distance from previous prime (120013013077) and next prime (120013013123).

It is a super-2 number, since 2×120013013100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1373932 + ... + 1458668.

It is an arithmetic number, because the mean of its divisors is an integer number (4823823634).

Almost surely, 2^120013013100 is an apocalyptic number.

120013013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120013013100 is an abundant number, since it is smaller than the sum of its proper divisors (227302288548).

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

120013013100 is a wasteful number, since it uses less digits than its factorization.

120013013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89475 (or 89468 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 120013013100 its reverse (1310310021), we get a palindrome (121323323121).

The spelling of 120013013100 in words is "one hundred twenty billion, thirteen million, thirteen thousand, one hundred".