100005111000100 has 72 divisors (see below), whose sum is σ = 218430904402368. Its totient is φ = 39740415312000.

The previous prime is 100005111000083. The next prime is 100005111000149. The reversal of 100005111000100 is 1000111500001.

It is a super-2 number, since 2×100005111000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91190025 + ... + 92280175.

It is an arithmetic number, because the mean of its divisors is an integer number (3033762561144).

Almost surely, 2^{100005111000100} is an apocalyptic number.

100005111000100 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 100005111000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109215452201184).

100005111000100 is an abundant number, since it is smaller than the sum of its proper divisors (118425793402268).

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

100005111000100 is a wasteful number, since it uses less digits than its factorization.

100005111000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096165 (or 1096158 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 100005111000100 its reverse (1000111500001), we get a palindrome (101005222500101).

The spelling of 100005111000100 in words is "one hundred trillion, five billion, one hundred eleven million, one hundred", and thus it is an aban number.