10014021244100 has 72 divisors (see below), whose sum is σ = 21756057523200. Its totient is φ = 4000886064000.

The previous prime is 10014021244093. The next prime is 10014021244109. The reversal of 10014021244100 is 144212041001.

It is a super-2 number, since 2×10014021244100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10014021244109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430347266 + ... + 430370534.

It is an arithmetic number, because the mean of its divisors is an integer number (302167465600).

Almost surely, 2^{10014021244100} is an apocalyptic number.

10014021244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014021244100 is an abundant number, since it is smaller than the sum of its proper divisors (11742036279100).

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

10014021244100 is a wasteful number, since it uses less digits than its factorization.

10014021244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28173 (or 28166 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10014021244100 its reverse (144212041001), we get a palindrome (10158233285101).

The spelling of 10014021244100 in words is "ten trillion, fourteen billion, twenty-one million, two hundred forty-four thousand, one hundred".