10100121100120 has 64 divisors (see below), whose sum is σ = 22757524452000. Its totient is φ = 4034318837760.

The previous prime is 10100121100063. The next prime is 10100121100133. The reversal of 10100121100120 is 2100112100101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100121100097 and 10100121100106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80919360 + ... + 81044080.

Almost surely, 2^{10100121100120} is an apocalyptic number.

10100121100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100121100120 is an abundant number, since it is smaller than the sum of its proper divisors (12657403351880).

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

10100121100120 is a wasteful number, since it uses less digits than its factorization.

10100121100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127588 (or 127584 counting only the distinct ones).

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

Adding to 10100121100120 its reverse (2100112100101), we get a palindrome (12200233200221).

The spelling of 10100121100120 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".