10100121122120 has 16 divisors (see below), whose sum is σ = 22725272524860. Its totient is φ = 4040048448832.

The previous prime is 10100121122111. The next prime is 10100121122131. The reversal of 10100121122120 is 2122112100101.

It can be written as a sum of positive squares in 2 ways, for example, as 9681768294916 + 418352827204 = 3111554^2 + 646802^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100121122095 and 10100121122104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126251513987 + ... + 126251514066.

Almost surely, 2^{10100121122120} is an apocalyptic number.

10100121122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100121122120 is an abundant number, since it is smaller than the sum of its proper divisors (12625151402740).

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

10100121122120 is a wasteful number, since it uses less digits than its factorization.

10100121122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252503028064 (or 252503028060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10100121122120 its reverse (2122112100101), we get a palindrome (12222233222221).

The spelling of 10100121122120 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".