11200013100 has 144 divisors (see below), whose sum is σ = 38124122400. Its totient is φ = 2810972160.

The previous prime is 11200013089. The next prime is 11200013107. The reversal of 11200013100 is 131000211.

It is a super-2 number, since 2×11200013100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11200013107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76105 + ... + 167904.

It is an arithmetic number, because the mean of its divisors is an integer number (264750850).

Almost surely, 2^11200013100 is an apocalyptic number.

11200013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200013100 is an abundant number, since it is smaller than the sum of its proper divisors (26924109300).

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

11200013100 is a wasteful number, since it uses less digits than its factorization.

11200013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244049 (or 244036 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11200013100 its reverse (131000211), we get a palindrome (11331013311).

The spelling of 11200013100 in words is "eleven billion, two hundred million, thirteen thousand, one hundred".