21514530530100 has 144 divisors (see below), whose sum is σ = 62666349096960. Its totient is φ = 5698804003200.

The previous prime is 21514530530069. The next prime is 21514530530177. The reversal of 21514530530100 is 103503541512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38861031 + ... + 39410769.

It is an arithmetic number, because the mean of its divisors is an integer number (435182979840).

Almost surely, 2^{21514530530100} is an apocalyptic number.

21514530530100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21514530530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31333174548480).

21514530530100 is an abundant number, since it is smaller than the sum of its proper divisors (41151818566860).

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

21514530530100 is a wasteful number, since it uses less digits than its factorization.

21514530530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550630 (or 550623 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 21514530530100 in words is "twenty-one trillion, five hundred fourteen billion, five hundred thirty million, five hundred thirty thousand, one hundred".