10201220100112 has 20 divisors (see below), whose sum is σ = 19768360468780. Its totient is φ = 5099707721088.

The previous prime is 10201220100089. The next prime is 10201220100133. The reversal of 10201220100112 is 21100102210201.

It can be written as a sum of positive squares in 2 ways, for example, as 3996816633616 + 6204403466496 = 1999204^2 + 2490864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201220100092 and 10201220100101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56302287 + ... + 56483182.

It is an arithmetic number, because the mean of its divisors is an integer number (988418023439).

Almost surely, 2^{10201220100112} is an apocalyptic number.

It is an amenable number.

10201220100112 is a deficient number, since it is larger than the sum of its proper divisors (9567140368668).

10201220100112 is a wasteful number, since it uses less digits than its factorization.

10201220100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112791130 (or 112791124 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201220100112 its reverse (21100102210201), we get a palindrome (31301322310313).

The spelling of 10201220100112 in words is "ten trillion, two hundred one billion, two hundred twenty million, one hundred thousand, one hundred twelve".