120012100100010 has 48 divisors (see below), whose sum is σ = 317918846315304. Its totient is φ = 31399392226176.

The previous prime is 120012100099939. The next prime is 120012100100023. The reversal of 120012100100010 is 10001001210021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96907860184041 + 23104239915969 = 9844179^2 + 4806687^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120012100099965 and 120012100100001.

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, 12579879937 + ... + 12579889476.

Almost surely, 2^{120012100100010} is an apocalyptic number.

120012100100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120012100100010 is an abundant number, since it is smaller than the sum of its proper divisors (197906746215294).

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

120012100100010 is a wasteful number, since it uses less digits than its factorization.

120012100100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159769479 (or 25159769476 counting only the distinct ones).

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

Adding to 120012100100010 its reverse (10001001210021), we get a palindrome (130013101310031).

The spelling of 120012100100010 in words is "one hundred twenty trillion, twelve billion, one hundred million, one hundred thousand, ten".