21121046591100 has 144 divisors (see below), whose sum is σ = 61196810007648. Its totient is φ = 5624302556160.

The previous prime is 21121046591089. The next prime is 21121046591123. The reversal of 21121046591100 is 119564012112.

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, 1462973082 + ... + 1462987518.

Almost surely, 2^{21121046591100} is an apocalyptic number.

21121046591100 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 21121046591100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598405003824).

21121046591100 is an abundant number, since it is smaller than the sum of its proper divisors (40075763416548).

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

21121046591100 is a wasteful number, since it uses less digits than its factorization.

21121046591100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21024 (or 21017 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 21121046591100 in words is "twenty-one trillion, one hundred twenty-one billion, forty-six million, five hundred ninety-one thousand, one hundred".