100110102012100 has 18 divisors (see below), whose sum is σ = 217238921366474. Its totient is φ = 40044040804800.

The previous prime is 100110102012079. The next prime is 100110102012163. The reversal of 100110102012100 is 1210201011001.

It can be written as a sum of positive squares in 3 ways, for example, as 21825864737856 + 78284237274244 = 4671816^2 + 8847838^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 500550509961 + ... + 500550510160.

Almost surely, 2^{100110102012100} is an apocalyptic number.

100110102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110102012100 is an abundant number, since it is smaller than the sum of its proper divisors (117128819354374).

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

100110102012100 is a wasteful number, since it uses less digits than its factorization.

100110102012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001101020135 (or 1001101020128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110102012100 its reverse (1210201011001), we get a palindrome (101320303023101).

The spelling of 100110102012100 in words is "one hundred trillion, one hundred ten billion, one hundred two million, twelve thousand, one hundred".