100511105000100 has 72 divisors (see below), whose sum is σ = 306118032087840. Its totient is φ = 25392279156480.

The previous prime is 100511105000099. The next prime is 100511105000101. The reversal of 100511105000100 is 1000501115001.

It is an interprime number because it is at equal distance from previous prime (100511105000099) and next prime (100511105000101).

It is a super-2 number, since 2×100511105000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100511105000100.

It is not an unprimeable number, because it can be changed into a prime (100511105000101) 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, 8816757897 + ... + 8816769296.

Almost surely, 2^{100511105000100} is an apocalyptic number.

100511105000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100511105000100 is an abundant number, since it is smaller than the sum of its proper divisors (205606927087740).

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

100511105000100 is a wasteful number, since it uses less digits than its factorization.

100511105000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17633527229 (or 17633527222 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 100511105000100 its reverse (1000501115001), we get a palindrome (101511606115101).

The spelling of 100511105000100 in words is "one hundred trillion, five hundred eleven billion, one hundred five million, one hundred", and thus it is an aban number.