10001002012112 has 10 divisors (see below), whose sum is σ = 19376941398498. Its totient is φ = 5000501006048.

The previous prime is 10001002012087. The next prime is 10001002012139. The reversal of 10001002012112 is 21121020010001.

It can be written as a sum of positive squares in only one way, i.e., 9849403917376 + 151598094736 = 3138376^2 + 389356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001002012093 and 10001002012102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312531312863 + ... + 312531312894.

Almost surely, 2^{10001002012112} is an apocalyptic number.

It is an amenable number.

10001002012112 is a deficient number, since it is larger than the sum of its proper divisors (9375939386386).

10001002012112 is an equidigital number, since it uses as much as digits as its factorization.

10001002012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625062625765 (or 625062625759 counting only the distinct ones).

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

Adding to 10001002012112 its reverse (21121020010001), we get a palindrome (31122022022113).

The spelling of 10001002012112 in words is "ten trillion, one billion, two million, twelve thousand, one hundred twelve".