201002100010112 has 64 divisors (see below), whose sum is σ = 401295465338040. Its totient is φ = 100285032775680.

The previous prime is 201002100010021. The next prime is 201002100010121. The reversal of 201002100010112 is 211010001200102.

It can be written as a sum of positive squares in 4 ways, for example, as 148296474711616 + 52705625298496 = 12177704^2 + 7259864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 201002100010093 and 201002100010102.

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 7 ways as a sum of consecutive naturals, for example, 113069912 + ... + 114833832.

Almost surely, 2^{201002100010112} is an apocalyptic number.

It is an amenable number.

201002100010112 is a deficient number, since it is larger than the sum of its proper divisors (200293365327928).

201002100010112 is a wasteful number, since it uses less digits than its factorization.

201002100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765849 (or 1765837 counting only the distinct ones).

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

Adding to 201002100010112 its reverse (211010001200102), we get a palindrome (412012101210214).

The spelling of 201002100010112 in words is "two hundred one trillion, two billion, one hundred million, ten thousand, one hundred twelve".