100010101112 has 8 divisors (see below), whose sum is σ = 187518939600. Its totient is φ = 50005050552.

The previous prime is 100010101063. The next prime is 100010101153. The reversal of 100010101112 is 211101010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a Harshad number since it is a multiple of its sum of digits (8), and also a Moran number because the ratio is a prime number: 12501262639 = 100010101112 / (1 + 0 + 0 + 0 + 1 + 0 + 1 + 0 + 1 + 1 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 100010101112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6250631312 + ... + 6250631327.

It is an arithmetic number, because the mean of its divisors is an integer number (23439867450).

Almost surely, 2^100010101112 is an apocalyptic number.

It is an amenable number.

100010101112 is a deficient number, since it is larger than the sum of its proper divisors (87508838488).

100010101112 is a wasteful number, since it uses less digits than its factorization.

100010101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501262645 (or 12501262641 counting only the distinct ones).

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

Adding to 100010101112 its reverse (211101010001), we get a palindrome (311111111113).

The spelling of 100010101112 in words is "one hundred billion, ten million, one hundred one thousand, one hundred twelve".