10012100011120 has 40 divisors (see below), whose sum is σ = 23297260223664. Its totient is φ = 4001549217792.

The previous prime is 10012100011099. The next prime is 10012100011129. The reversal of 10012100011120 is 2111000121001.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 10012100011097 and 10012100011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012100011129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51320574 + ... + 51515293.

Almost surely, 2^{10012100011120} is an apocalyptic number.

10012100011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012100011120 is an abundant number, since it is smaller than the sum of its proper divisors (13285160212544).

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

10012100011120 is a wasteful number, since it uses less digits than its factorization.

10012100011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102837097 (or 102837091 counting only the distinct ones).

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

Adding to 10012100011120 its reverse (2111000121001), we get a palindrome (12123100132121).

The spelling of 10012100011120 in words is "ten trillion, twelve billion, one hundred million, eleven thousand, one hundred twenty".