100100000000010 has 16 divisors (see below), whose sum is σ = 240240000000096. Its totient is φ = 26693333333328.

The previous prime is 100099999999991. The next prime is 100100000000029. The reversal of 100100000000010 is 10000000001001.

It is an interprime number because it is at equal distance from previous prime (100099999999991) and next prime (100100000000029).

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a junction number, because it is equal to n+sod(n) for n = 100099999999923 and 100100000000004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1668333333304 + ... + 1668333333363.

It is an arithmetic number, because the mean of its divisors is an integer number (15015000000006).

Almost surely, 2^{100100000000010} is an apocalyptic number.

100100000000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100000000010 is an abundant number, since it is smaller than the sum of its proper divisors (140140000000086).

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

100100000000010 is a wasteful number, since it uses less digits than its factorization.

100100000000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336666666677.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100100000000010 its reverse (10000000001001), we get a palindrome (110100000001011).

Subtracting from 100100000000010 its reverse (10000000001001), we obtain a palindrome (90099999999009).

The spelling of 100100000000010 in words is "one hundred trillion, one hundred billion, ten", and thus it is an aban number.