100010011111112 has 8 divisors (see below), whose sum is σ = 187518770833350. Its totient is φ = 50005005555552.

The previous prime is 100010011111103. The next prime is 100010011111117. The reversal of 100010011111112 is 211111110010001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51696473880676 + 48313537230436 = 7190026^2 + 6950794^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100010011111093 and 100010011111102.

It is not an unprimeable number, because it can be changed into a prime (100010011111117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6250625694437 + ... + 6250625694452.

Almost surely, 2^{100010011111112} is an apocalyptic number.

It is an amenable number.

100010011111112 is a deficient number, since it is larger than the sum of its proper divisors (87508759722238).

100010011111112 is a wasteful number, since it uses less digits than its factorization.

100010011111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501251388895 (or 12501251388891 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100010011111112 its reverse (211111110010001), we get a palindrome (311121121121113).

The spelling of 100010011111112 in words is "one hundred trillion, ten billion, eleven million, one hundred eleven thousand, one hundred twelve".