100100110122012 has 288 divisors, whose sum is σ = 324516015771136. Its totient is φ = 23351375900160.

The previous prime is 100100110121981. The next prime is 100100110122071. The reversal of 100100110122012 is 210221011001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 5348638 + ... + 15126405.

Almost surely, 2^{100100110122012} is an apocalyptic number.

100100110122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100110122012 is an abundant number, since it is smaller than the sum of its proper divisors (224415905649124).

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

100100110122012 is a wasteful number, since it uses less digits than its factorization.

100100110122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20475129 (or 20475116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100100110122012 its reverse (210221011001001), we get a palindrome (310321121123013).

The spelling of 100100110122012 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred twenty-two thousand, twelve".