10933981140100 has 144 divisors (see below), whose sum is σ = 24056244051840. Its totient is φ = 4313246745600.

The previous prime is 10933981140097. The next prime is 10933981140127. The reversal of 10933981140100 is 104118933901.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 2731444699 + ... + 2731448701.

It is an arithmetic number, because the mean of its divisors is an integer number (167057250360).

Almost surely, 2^{10933981140100} is an apocalyptic number.

10933981140100 is a gapful number since it is divisible by the number (10) 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 10933981140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12028122025920).

10933981140100 is an abundant number, since it is smaller than the sum of its proper divisors (13122262911740).

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

10933981140100 is a wasteful number, since it uses less digits than its factorization.

10933981140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 10933981140100 in words is "ten trillion, nine hundred thirty-three billion, nine hundred eighty-one million, one hundred forty thousand, one hundred".