100010100012 has 96 divisors (see below), whose sum is σ = 248471000064. Its totient is φ = 31262860800.

The previous prime is 100010100011. The next prime is 100010100041. The reversal of 100010100012 is 210001010001.

100010100012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (100010100011) 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, 1477837 + ... + 1544027.

It is an arithmetic number, because the mean of its divisors is an integer number (2588239584).

Almost surely, 2^100010100012 is an apocalyptic number.

100010100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010100012 is an abundant number, since it is smaller than the sum of its proper divisors (148460900052).

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

100010100012 is a wasteful number, since it uses less digits than its factorization.

100010100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66359 (or 66357 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100010100012 its reverse (210001010001), we get a palindrome (310011110013).

It can be divided in two parts, 10001010001 and 2, that multiplied together give a palindrome (20002020002).

The spelling of 100010100012 in words is "one hundred billion, ten million, one hundred thousand, twelve".