11101113003100 has 36 divisors (see below), whose sum is σ = 24104131158744. Its totient is φ = 4437732585280.

The previous prime is 11101113003091. The next prime is 11101113003109. The reversal of 11101113003100 is 130031110111.

11101113003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11101113003091) and next prime (11101113003109).

It is a super-2 number, since 2×11101113003100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101113003109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33743182 + ... + 34070581.

It is an arithmetic number, because the mean of its divisors is an integer number (669559198854).

Almost surely, 2^{11101113003100} is an apocalyptic number.

11101113003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101113003100 is an abundant number, since it is smaller than the sum of its proper divisors (13003018155644).

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

11101113003100 is a wasteful number, since it uses less digits than its factorization.

11101113003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67815414 (or 67815407 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11101113003100 its reverse (130031110111), we get a palindrome (11231144113211).

The spelling of 11101113003100 in words is "eleven trillion, one hundred one billion, one hundred thirteen million, three thousand, one hundred".