120001110012100 has 36 divisors (see below), whose sum is σ = 262980650418948. Its totient is φ = 47525192080000.

The previous prime is 120001110012031. The next prime is 120001110012143. The reversal of 120001110012100 is 1210011100021.

It can be written as a sum of positive squares in 6 ways, for example, as 9803561772096 + 110197548240004 = 3131064^2 + 10497502^2 .

It is a super-2 number, since 2×120001110012100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5940638911 + ... + 5940659110.

It is an arithmetic number, because the mean of its divisors is an integer number (7305018067193).

Almost surely, 2^{120001110012100} is an apocalyptic number.

120001110012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001110012100 is an abundant number, since it is smaller than the sum of its proper divisors (142979540406848).

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

120001110012100 is a wasteful number, since it uses less digits than its factorization.

120001110012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881298136 (or 11881298129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120001110012100 its reverse (1210011100021), we get a palindrome (121211121112121).

The spelling of 120001110012100 in words is "one hundred twenty trillion, one billion, one hundred ten million, twelve thousand, one hundred".