11200102319 has 16 divisors (see below), whose sum is σ = 12836550720. Its totient is φ = 9572808960.

The previous prime is 11200102261. The next prime is 11200102343. The reversal of 11200102319 is 91320100211.

It is a cyclic number.

It is not a de Polignac number, because 11200102319 - 2²⁴ = 11183325103 is a prime.

It is a super-4 number, since 4×11200102319⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11200102319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200162319) 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, 5518997 + ... + 5521025.

It is an arithmetic number, because the mean of its divisors is an integer number (802284420).

Almost surely, 2^11200102319 is an apocalyptic number.

11200102319 is a deficient number, since it is larger than the sum of its proper divisors (1636448401).

11200102319 is a wasteful number, since it uses less digits than its factorization.

11200102319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 11200102319 in words is "eleven billion, two hundred million, one hundred two thousand, three hundred nineteen".