100111011000000 has 6272 divisors, whose sum is σ = 492535255468032. Its totient is φ = 17252352000000.

The previous prime is 100111010999981. The next prime is 100111011000001. The reversal of 100111011000000 is 110111001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100111011000001) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1888886999974 + ... + 1888887000026.

Almost surely, 2^{100111011000000} is an apocalyptic number.

100111011000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246267627734016).

100111011000000 is an abundant number, since it is smaller than the sum of its proper divisors (392424244468032).

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

100111011000000 is a wasteful number, since it uses less digits than its factorization.

100111011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111011000000 its reverse (110111001), we get a palindrome (100111121111001).

The spelling of 100111011000000 in words is "one hundred trillion, one hundred eleven billion, eleven million", and thus it is an aban number.