10021114401100 has 72 divisors (see below), whose sum is σ = 23751329036400. Its totient is φ = 3639645561600.

The previous prime is 10021114401043. The next prime is 10021114401163. The reversal of 10021114401100 is 110441112001.

10021114401100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4582735 + ... + 6406534.

It is an arithmetic number, because the mean of its divisors is an integer number (329879569950).

Almost surely, 2^{10021114401100} is an apocalyptic number.

10021114401100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021114401100 is an abundant number, since it is smaller than the sum of its proper divisors (13730214635300).

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

10021114401100 is a wasteful number, since it uses less digits than its factorization.

10021114401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990123 (or 10990116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10021114401100 its reverse (110441112001), we get a palindrome (10131555513101).

The spelling of 10021114401100 in words is "ten trillion, twenty-one billion, one hundred fourteen million, four hundred one thousand, one hundred".