11101101200988 has 96 divisors (see below), whose sum is σ = 27105497137152. Its totient is φ = 3529437964800.

The previous prime is 11101101200953. The next prime is 11101101201013. The reversal of 11101101200988 is 88900210110111.

It is a happy number.

It is a super-2 number, since 2×11101101200988² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615317248 + ... + 615335288.

It is an arithmetic number, because the mean of its divisors is an integer number (282348928512).

Almost surely, 2^{11101101200988} 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 11101101200988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552748568576).

11101101200988 is an abundant number, since it is smaller than the sum of its proper divisors (16004395936164).

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

11101101200988 is a wasteful number, since it uses less digits than its factorization.

11101101200988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24275 (or 24273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 33.

The spelling of 11101101200988 in words is "eleven trillion, one hundred one billion, one hundred one million, two hundred thousand, nine hundred eighty-eight".