22121729100 has 144 divisors (see below), whose sum is σ = 71170861440. Its totient is φ = 5894683200.

The previous prime is 22121729083. The next prime is 22121729137. The reversal of 22121729100 is 192712122.

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

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, 5211579 + ... + 5215821.

Almost surely, 2^22121729100 is an apocalyptic number.

22121729100 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 22121729100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35585430720).

22121729100 is an abundant number, since it is smaller than the sum of its proper divisors (49049132340).

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

22121729100 is a wasteful number, since it uses less digits than its factorization.

22121729100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 22121729100 in words is "twenty-two billion, one hundred twenty-one million, seven hundred twenty-nine thousand, one hundred".