21318102370900 has 144 divisors (see below), whose sum is σ = 47247980935680. Its totient is φ = 8347248000000.

The previous prime is 21318102370837. The next prime is 21318102370927. The reversal of 21318102370900 is 907320181312.

It is a super-2 number, since 2×21318102370900² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21318102370900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621483750 + ... + 621518050.

It is an arithmetic number, because the mean of its divisors is an integer number (328110978720).

Almost surely, 2^{21318102370900} is an apocalyptic number.

21318102370900 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 21318102370900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623990467840).

21318102370900 is an abundant number, since it is smaller than the sum of its proper divisors (25929878564780).

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

21318102370900 is a wasteful number, since it uses less digits than its factorization.

21318102370900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35066 (or 35059 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 21318102370900 in words is "twenty-one trillion, three hundred eighteen billion, one hundred two million, three hundred seventy thousand, nine hundred".