10012111021120 has 84 divisors (see below), whose sum is σ = 25816361704740. Its totient is φ = 3696779433984.

The previous prime is 10012111021079. The next prime is 10012111021123. The reversal of 10012111021120 is 2112011121001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2512706863104 + 7499404158016 = 1585152^2 + 2738504^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10012111021120.

It is not an unprimeable number, because it can be changed into a prime (10012111021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92513515 + ... + 92621674.

Almost surely, 2^{10012111021120} is an apocalyptic number.

10012111021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012111021120 is an abundant number, since it is smaller than the sum of its proper divisors (15804250683620).

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

10012111021120 is a wasteful number, since it uses less digits than its factorization.

10012111021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185135232 (or 185135209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10012111021120 its reverse (2112011121001), we get a palindrome (12124122142121).

The spelling of 10012111021120 in words is "ten trillion, twelve billion, one hundred eleven million, twenty-one thousand, one hundred twenty".