10001001102112 has 24 divisors (see below), whose sum is σ = 19704722334192. Its totient is φ = 4996627176000.

The previous prime is 10001001102107. The next prime is 10001001102133. The reversal of 10001001102112 is 21120110010001.

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 in 3 ways as a sum of consecutive naturals, for example, 121001014 + ... + 121083637.

It is an arithmetic number, because the mean of its divisors is an integer number (821030097258).

Almost surely, 2^{10001001102112} is an apocalyptic number.

It is an amenable number.

10001001102112 is a deficient number, since it is larger than the sum of its proper divisors (9703721232080).

10001001102112 is a wasteful number, since it uses less digits than its factorization.

10001001102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242085952 (or 242085944 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001001102112 its reverse (21120110010001), we get a palindrome (31121111112113).

The spelling of 10001001102112 in words is "ten trillion, one billion, one million, one hundred two thousand, one hundred twelve".