100111209952 has 96 divisors (see below), whose sum is σ = 219973834080. Its totient is φ = 44530698240.

The previous prime is 100111209889. The next prime is 100111209953. The reversal of 100111209952 is 259902111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111209953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6881278 + ... + 6895810.

It is an arithmetic number, because the mean of its divisors is an integer number (2291394105).

Almost surely, 2^100111209952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111209952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109986917040).

100111209952 is an abundant number, since it is smaller than the sum of its proper divisors (119862624128).

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

100111209952 is a wasteful number, since it uses less digits than its factorization.

100111209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15156 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 31.

The spelling of 100111209952 in words is "one hundred billion, one hundred eleven million, two hundred nine thousand, nine hundred fifty-two".