11000100072 has 32 divisors (see below), whose sum is σ = 29615654880. Its totient is φ = 3384646080.

The previous prime is 11000100061. The next prime is 11000100073. The reversal of 11000100072 is 27000100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11000100073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17628054 + ... + 17628677.

It is an arithmetic number, because the mean of its divisors is an integer number (925489215).

Almost surely, 2^11000100072 is an apocalyptic number.

11000100072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000100072 is an abundant number, since it is smaller than the sum of its proper divisors (18615554808).

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

11000100072 is a wasteful number, since it uses less digits than its factorization.

11000100072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35256753 (or 35256749 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

Adding to 11000100072 its reverse (27000100011), we get a palindrome (38000200083).

The spelling of 11000100072 in words is "eleven billion, one hundred thousand, seventy-two".