11981822100 has 36 divisors (see below), whose sum is σ = 34667406144. Its totient is φ = 3195152480.

The previous prime is 11981822089. The next prime is 11981822113. The reversal of 11981822100 is 122818911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19969404 + ... + 19970003.

It is an arithmetic number, because the mean of its divisors is an integer number (962983504).

Almost surely, 2^11981822100 is an apocalyptic number.

11981822100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11981822100 is an abundant number, since it is smaller than the sum of its proper divisors (22685584044).

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

11981822100 is a wasteful number, since it uses less digits than its factorization.

11981822100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39939424 (or 39939417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 11981822100 in words is "eleven billion, nine hundred eighty-one million, eight hundred twenty-two thousand, one hundred".