11100100992 has 64 divisors (see below), whose sum is σ = 29639208960. Its totient is φ = 3680637440.

The previous prime is 11100100961. The next prime is 11100100993. The reversal of 11100100992 is 29900100111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100100993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2328 + ... + 149015.

It is an arithmetic number, because the mean of its divisors is an integer number (463112640).

Almost surely, 2^11100100992 is an apocalyptic number.

11100100992 is a gapful number since it is divisible by the number (12) 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 11100100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819604480).

11100100992 is an abundant number, since it is smaller than the sum of its proper divisors (18539107968).

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

11100100992 is a wasteful number, since it uses less digits than its factorization.

11100100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151551 (or 151539 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The spelling of 11100100992 in words is "eleven billion, one hundred million, one hundred thousand, nine hundred ninety-two".