1102112100011 has 16 divisors (see below), whose sum is σ = 1188915705600. Its totient is φ = 1015599277728.

The previous prime is 1102112099983. The next prime is 1102112100013. The reversal of 1102112100011 is 1100012112011.

It is a cyclic number.

It is not a de Polignac number, because 1102112100011 - 2¹⁸ = 1102111837867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102112099965 and 1102112100001.

It is not an unprimeable number, because it can be changed into a prime (1102112100013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19887980 + ... + 19943318.

It is an arithmetic number, because the mean of its divisors is an integer number (74307231600).

Almost surely, 2^{1102112100011} is an apocalyptic number.

1102112100011 is a deficient number, since it is larger than the sum of its proper divisors (86803605589).

1102112100011 is a wasteful number, since it uses less digits than its factorization.

1102112100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57938.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1102112100011 its reverse (1100012112011), we get a palindrome (2202124212022).

The spelling of 1102112100011 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred thousand, eleven".