2253107600100 has 432 divisors, whose sum is σ = 8203875668352. Its totient is φ = 506580203520.

The previous prime is 2253107600071. The next prime is 2253107600113. The reversal of 2253107600100 is 10067013522.

It is a happy number.

2253107600100 is a `hidden beast` number, since 2 + 2 + 53 + 1 + 0 + 7 + 600 + 1 + 0 + 0 = 666.

2253107600100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121826454 + ... + 121844946.

It is an arithmetic number, because the mean of its divisors is an integer number (18990452936).

Almost surely, 2^{2253107600100} is an apocalyptic number.

2253107600100 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 2253107600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101937834176).

2253107600100 is an abundant number, since it is smaller than the sum of its proper divisors (5950768068252).

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

2253107600100 is a wasteful number, since it uses less digits than its factorization.

2253107600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18836 (or 18826 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 2253107600100 in words is "two trillion, two hundred fifty-three billion, one hundred seven million, six hundred thousand, one hundred".