100010110212012 has 288 divisors, whose sum is σ = 327532648584960. Its totient is φ = 23330381114880.

The previous prime is 100010110212007. The next prime is 100010110212029. The reversal of 100010110212012 is 210212011010001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12961962 + ... + 19184177.

It is an arithmetic number, because the mean of its divisors is an integer number (1137266140920).

Almost surely, 2^{100010110212012} is an apocalyptic number.

100010110212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010110212012 is an abundant number, since it is smaller than the sum of its proper divisors (227522538372948).

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

100010110212012 is a wasteful number, since it uses less digits than its factorization.

100010110212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32146221 (or 32146212 counting only the distinct ones).

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

Adding to 100010110212012 its reverse (210212011010001), we get a palindrome (310222121222013).

The spelling of 100010110212012 in words is "one hundred trillion, ten billion, one hundred ten million, two hundred twelve thousand, twelve".