21988331636100 has 144 divisors (see below), whose sum is σ = 64326604708800. Its totient is φ = 5798487121920.

The previous prime is 21988331636081. The next prime is 21988331636101. The reversal of 21988331636100 is 163613388912.

It is a super-2 number, since 2×21988331636100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21988331636101) 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, 36336816 + ... + 36936984.

It is an arithmetic number, because the mean of its divisors is an integer number (446712532700).

Almost surely, 2^{21988331636100} is an apocalyptic number.

21988331636100 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 21988331636100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32163302354400).

21988331636100 is an abundant number, since it is smaller than the sum of its proper divisors (42338273072700).

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

21988331636100 is a wasteful number, since it uses less digits than its factorization.

21988331636100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601542 (or 601535 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 21988331636100 in words is "twenty-one trillion, nine hundred eighty-eight billion, three hundred thirty-one million, six hundred thirty-six thousand, one hundred".