11100000102113 has 24 divisors (see below), whose sum is σ = 12417712978176. Its totient is φ = 9907273771200.

The previous prime is 11100000102067. The next prime is 11100000102151. The reversal of 11100000102113 is 31120100000111.

It is a happy number.

It is not a de Polignac number, because 11100000102113 - 2³² = 11095705134817 is a prime.

It is a super-2 number, since 2×11100000102113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11100000102094 and 11100000102103.

It is not an unprimeable number, because it can be changed into a prime (11100000102173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5326223 + ... + 7111163.

It is an arithmetic number, because the mean of its divisors is an integer number (517404707424).

Almost surely, 2^{11100000102113} is an apocalyptic number.

11100000102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11100000102113 is a deficient number, since it is larger than the sum of its proper divisors (1317712876063).

11100000102113 is a wasteful number, since it uses less digits than its factorization.

11100000102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786185 (or 1786172 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11100000102113 its reverse (31120100000111), we get a palindrome (42220100102224).

The spelling of 11100000102113 in words is "eleven trillion, one hundred billion, one hundred two thousand, one hundred thirteen".