101112100100012 has 48 divisors (see below), whose sum is σ = 188933008642560. Its totient is φ = 47208487506048.

The previous prime is 101112100099979. The next prime is 101112100100029. The reversal of 101112100100012 is 210001001211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112100099966 and 101112100100002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2654873 + ... + 14466255.

It is an arithmetic number, because the mean of its divisors is an integer number (3936104346720).

Almost surely, 2^{101112100100012} is an apocalyptic number.

It is an amenable number.

101112100100012 is a deficient number, since it is larger than the sum of its proper divisors (87820908542548).

101112100100012 is a wasteful number, since it uses less digits than its factorization.

101112100100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11813022 (or 11813020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112100100012 its reverse (210001001211101), we get a palindrome (311113101311113).

The spelling of 101112100100012 in words is "one hundred one trillion, one hundred twelve billion, one hundred million, one hundred thousand, twelve".