100101112000010 has 32 divisors (see below), whose sum is σ = 205108365462912. Its totient is φ = 34817778086080.

The previous prime is 100101111999919. The next prime is 100101112000027. The reversal of 100101112000010 is 10000211101001.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 19782825929 + ... + 19782830988.

It is an arithmetic number, because the mean of its divisors is an integer number (6409636420716).

Almost surely, 2^{100101112000010} is an apocalyptic number.

100101112000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101112000010 is an abundant number, since it is smaller than the sum of its proper divisors (105007253462902).

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

100101112000010 is a wasteful number, since it uses less digits than its factorization.

100101112000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39565656958.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101112000010 its reverse (10000211101001), we get a palindrome (110101323101011).

The spelling of 100101112000010 in words is "one hundred trillion, one hundred one billion, one hundred twelve million, ten", and thus it is an aban number.