2001012100112 has 20 divisors (see below), whose sum is σ = 3877005950976. Its totient is φ = 1000494435360.

The previous prime is 2001012100103. The next prime is 2001012100127. The reversal of 2001012100112 is 2110012101002.

It is a junction number, because it is equal to n+sod(n) for n = 2001012100093 and 2001012100102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 791537 + ... + 2151407.

Almost surely, 2^{2001012100112} is an apocalyptic number.

It is an amenable number.

2001012100112 is a deficient number, since it is larger than the sum of its proper divisors (1875993850864).

2001012100112 is a wasteful number, since it uses less digits than its factorization.

2001012100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451846 (or 1451840 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001012100112 its reverse (2110012101002), we get a palindrome (4111024201114).

The spelling of 2001012100112 in words is "two trillion, one billion, twelve million, one hundred thousand, one hundred twelve".