10120121033200 has 120 divisors (see below), whose sum is σ = 25963345918080. Its totient is φ = 3782381030400.

The previous prime is 10120121033177. The next prime is 10120121033213. The reversal of 10120121033200 is 233012102101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13711759 + ... + 14430958.

It is an arithmetic number, because the mean of its divisors is an integer number (216361215984).

Almost surely, 2^{10120121033200} is an apocalyptic number.

10120121033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120121033200 is an abundant number, since it is smaller than the sum of its proper divisors (15843224884880).

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

10120121033200 is a wasteful number, since it uses less digits than its factorization.

10120121033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28142795 (or 28142784 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10120121033200 its reverse (233012102101), we get a palindrome (10353133135301).

The spelling of 10120121033200 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, thirty-three thousand, two hundred".