100201011111112 has 16 divisors (see below), whose sum is σ = 191421742925340. Its totient is φ = 49155212997696.

The previous prime is 100201011111067. The next prime is 100201011111121. The reversal of 100201011111112 is 211111110102001.

It can be written as a sum of positive squares in 2 ways, for example, as 89236475608036 + 10964535503076 = 9446506^2 + 3311274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201011111092 and 100201011111101.

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 3 ways as a sum of consecutive naturals, for example, 118161569283 + ... + 118161570130.

Almost surely, 2^{100201011111112} is an apocalyptic number.

It is an amenable number.

100201011111112 is a deficient number, since it is larger than the sum of its proper divisors (91220731814228).

100201011111112 is a wasteful number, since it uses less digits than its factorization.

100201011111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236323139472 (or 236323139468 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100201011111112 its reverse (211111110102001), we get a palindrome (311312121213113).

The spelling of 100201011111112 in words is "one hundred trillion, two hundred one billion, eleven million, one hundred eleven thousand, one hundred twelve".