10111011000100 has 72 divisors (see below), whose sum is σ = 22452486886368. Its totient is φ = 3950112768000.

The previous prime is 10111011000067. The next prime is 10111011000107. The reversal of 10111011000100 is 100011011101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10111011000107) 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, 83604675 + ... + 83725525.

It is an arithmetic number, because the mean of its divisors is an integer number (311840095644).

Almost surely, 2^{10111011000100} is an apocalyptic number.

10111011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111011000100 is an abundant number, since it is smaller than the sum of its proper divisors (12341475886268).

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

10111011000100 is a wasteful number, since it uses less digits than its factorization.

10111011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140365 (or 140358 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10111011000100 its reverse (100011011101), we get a palindrome (10211022011201).

The spelling of 10111011000100 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred", and thus it is an aban number.