21144423122100 has 144 divisors (see below), whose sum is σ = 67983251918400. Its totient is φ = 5637861912960.

The previous prime is 21144423122059. The next prime is 21144423122107. The reversal of 21144423122100 is 122132444112.

21144423122100 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 442 + 3 + 1 + 2 + 210 + 0 = 666.

It is a super-2 number, since 2×21144423122100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144423122107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23169246 + ... + 24064554.

It is an arithmetic number, because the mean of its divisors is an integer number (472105916100).

Almost surely, 2^{21144423122100} is an apocalyptic number.

21144423122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144423122100 is an abundant number, since it is smaller than the sum of its proper divisors (46838828796300).

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

21144423122100 is a wasteful number, since it uses less digits than its factorization.

21144423122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904079 (or 904066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21144423122100 its reverse (122132444112), we get a palindrome (21266555566212).

The spelling of 21144423122100 in words is "twenty-one trillion, one hundred forty-four billion, four hundred twenty-three million, one hundred twenty-two thousand, one hundred".