100001000011000 has 128 divisors (see below), whose sum is σ = 257802760912320. Its totient is φ = 36003960000000.

The previous prime is 100001000010973. The next prime is 100001000011007. The reversal of 100001000011000 is 110000100001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001000011007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43893951 + ... + 46115950.

Almost surely, 2^{100001000011000} is an apocalyptic number.

100001000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001000011000 is an abundant number, since it is smaller than the sum of its proper divisors (157801760901320).

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

100001000011000 is a wasteful number, since it uses less digits than its factorization.

100001000011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90010034 (or 90010020 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100001000011000 its reverse (110000100001), we get a palindrome (100111000111001).

The spelling of 100001000011000 in words is "one hundred trillion, one billion, eleven thousand".