10001201002112 has 32 divisors (see below), whose sum is σ = 19924428932100. Its totient is φ = 5000560015360.

The previous prime is 10001201002097. The next prime is 10001201002123. The reversal of 10001201002112 is 21120010210001.

It can be written as a sum of positive squares in 2 ways, for example, as 9888911672896 + 112289329216 = 3144664^2 + 335096^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10001201002093 and 10001201002102.

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, 21307814 + ... + 21772122.

Almost surely, 2^{10001201002112} is an apocalyptic number.

It is an amenable number.

10001201002112 is a deficient number, since it is larger than the sum of its proper divisors (9923227929988).

10001201002112 is an equidigital number, since it uses as much as digits as its factorization.

10001201002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632604 (or 632592 counting only the distinct ones).

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

Adding to 10001201002112 its reverse (21120010210001), we get a palindrome (31121211212113).

The spelling of 10001201002112 in words is "ten trillion, one billion, two hundred one million, two thousand, one hundred twelve".