100100000010110 has 16 divisors (see below), whose sum is σ = 180180180513216. Its totient is φ = 40039959894048.

The previous prime is 100100000010107. The next prime is 100100000010113. The reversal of 100100000010110 is 11010000001001.

It is an interprime number because it is at equal distance from previous prime (100100000010107) and next prime (100100000010113).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 100100000010094 and 100100000010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100000010113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6791579 + ... + 15694761.

It is an arithmetic number, because the mean of its divisors is an integer number (11261261282076).

Almost surely, 2^{100100000010110} is an apocalyptic number.

100100000010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100000010110 is a deficient number, since it is larger than the sum of its proper divisors (80080180503106).

100100000010110 is a wasteful number, since it uses less digits than its factorization.

100100000010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027507.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100000010110 its reverse (11010000001001), we get a palindrome (111110000011111).

The spelling of 100100000010110 in words is "one hundred trillion, one hundred billion, ten thousand, one hundred ten".