11931090908100 has 576 divisors, whose sum is σ = 42757929984000. Its totient is φ = 2501326448640.

The previous prime is 11931090908059. The next prime is 11931090908117. The reversal of 11931090908100 is 180909013911.

It is a happy number.

It is a super-2 number, since 2×11931090908100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2925001861 + ... + 2925005939.

Almost surely, 2^{11931090908100} is an apocalyptic number.

11931090908100 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 11931090908100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21378964992000).

11931090908100 is an abundant number, since it is smaller than the sum of its proper divisors (30826839075900).

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

11931090908100 is a wasteful number, since it uses less digits than its factorization.

11931090908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 42.

The spelling of 11931090908100 in words is "eleven trillion, nine hundred thirty-one billion, ninety million, nine hundred eight thousand, one hundred".