100000100100110 has 288 divisors, whose sum is σ = 216309234087936. Its totient is φ = 33187342809600.

The previous prime is 100000100100071. The next prime is 100000100100161. The reversal of 100000100100110 is 11001001000001.

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 = 100000100100094 and 100000100100103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63171256379 + ... + 63171257961.

It is an arithmetic number, because the mean of its divisors is an integer number (751073729472).

Almost surely, 2^{100000100100110} is an apocalyptic number.

100000100100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000100100110 is an abundant number, since it is smaller than the sum of its proper divisors (116309133987826).

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

100000100100110 is a wasteful number, since it uses less digits than its factorization.

100000100100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2192 counting only the distinct ones).

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

Adding to 100000100100110 its reverse (11001001000001), we get a palindrome (111001101100111).

The spelling of 100000100100110 in words is "one hundred trillion, one hundred million, one hundred thousand, one hundred ten".