100100002212012 has 96 divisors (see below), whose sum is σ = 272459412578304. Its totient is φ = 28266356608000.

The previous prime is 100100002212011. The next prime is 100100002212013. The reversal of 100100002212012 is 210212200001001.

It is an interprime number because it is at equal distance from previous prime (100100002212011) and next prime (100100002212013).

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

It is not an unprimeable number, because it can be changed into a prime (100100002212011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220604268 + ... + 221057555.

It is an arithmetic number, because the mean of its divisors is an integer number (2838118881024).

Almost surely, 2^{100100002212012} is an apocalyptic number.

100100002212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100002212012 is an abundant number, since it is smaller than the sum of its proper divisors (172359410366292).

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

100100002212012 is a wasteful number, since it uses less digits than its factorization.

100100002212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441661959 (or 441661957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100100002212012 its reverse (210212200001001), we get a palindrome (310312202213013).

The spelling of 100100002212012 in words is "one hundred trillion, one hundred billion, two million, two hundred twelve thousand, twelve".