10012202011120 has 20 divisors (see below), whose sum is σ = 23278369676040. Its totient is φ = 4004880804416.

The previous prime is 10012202011099. The next prime is 10012202011121. The reversal of 10012202011120 is 2111020221001.

10012202011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10012202011120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10012202011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012202011121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62576262490 + ... + 62576262649.

It is an arithmetic number, because the mean of its divisors is an integer number (1163918483802).

Almost surely, 2^{10012202011120} is an apocalyptic number.

10012202011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012202011120 is an abundant number, since it is smaller than the sum of its proper divisors (13266167664920).

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

10012202011120 is a wasteful number, since it uses less digits than its factorization.

10012202011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125152525152 (or 125152525146 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012202011120 its reverse (2111020221001), we get a palindrome (12123222232121).

The spelling of 10012202011120 in words is "ten trillion, twelve billion, two hundred two million, eleven thousand, one hundred twenty".