22130080727100 has 144 divisors (see below), whose sum is σ = 67410935424000. Its totient is φ = 5589823979520.

The previous prime is 22130080727099. The next prime is 22130080727143. The reversal of 22130080727100 is 172708003122.

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, 34146876 + ... + 34788924.

It is an arithmetic number, because the mean of its divisors is an integer number (468131496000).

Almost surely, 2^{22130080727100} is an apocalyptic number.

22130080727100 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 22130080727100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33705467712000).

22130080727100 is an abundant number, since it is smaller than the sum of its proper divisors (45280854696900).

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

22130080727100 is a wasteful number, since it uses less digits than its factorization.

22130080727100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648132 (or 648125 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 22130080727100 in words is "twenty-two trillion, one hundred thirty billion, eighty million, seven hundred twenty-seven thousand, one hundred".