11101200101088 has 48 divisors (see below), whose sum is σ = 29429171580816. Its totient is φ = 3663762406400.

The previous prime is 11101200101087. The next prime is 11101200101129. The reversal of 11101200101088 is 88010100210111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×11101200101088³ (a number of 40 digits) contains 333 as substring.

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 (11101200101087) 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, 572453181 + ... + 572472572.

It is an arithmetic number, because the mean of its divisors is an integer number (613107741267).

Almost surely, 2^{11101200101088} is an apocalyptic number.

It is an amenable number.

11101200101088 is an abundant number, since it is smaller than the sum of its proper divisors (18327971479728).

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

11101200101088 is a wasteful number, since it uses less digits than its factorization.

11101200101088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144925867 (or 1144925859 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 24.

Adding to 11101200101088 its reverse (88010100210111), we get a palindrome (99111300311199).

The spelling of 11101200101088 in words is "eleven trillion, one hundred one billion, two hundred million, one hundred one thousand, eighty-eight".