10001001012120 has 48 divisors (see below), whose sum is σ = 32503253290560. Its totient is φ = 2666933603136.

The previous prime is 10001001012071. The next prime is 10001001012139. The reversal of 10001001012120 is 2121010010001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13890278824 + ... + 13890279543.

It is an arithmetic number, because the mean of its divisors is an integer number (677151110220).

Almost surely, 2^{10001001012120} is an apocalyptic number.

10001001012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001001012120 is an abundant number, since it is smaller than the sum of its proper divisors (22502252278440).

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

10001001012120 is a wasteful number, since it uses less digits than its factorization.

10001001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27780558384 (or 27780558377 counting only the distinct ones).

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

Adding to 10001001012120 its reverse (2121010010001), we get a palindrome (12122011022121).

The spelling of 10001001012120 in words is "ten trillion, one billion, one million, twelve thousand, one hundred twenty".