10002112221013 has 16 divisors (see below), whose sum is σ = 11263789481472. Its totient is φ = 8799188904000.

The previous prime is 10002112221001. The next prime is 10002112221041. The reversal of 10002112221013 is 31012221120001.

It is not a de Polignac number, because 10002112221013 - 2⁹ = 10002112220501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002112221113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9002995 + ... + 10052767.

It is an arithmetic number, because the mean of its divisors is an integer number (703986842592).

Almost surely, 2^{10002112221013} is an apocalyptic number.

It is an amenable number.

10002112221013 is a deficient number, since it is larger than the sum of its proper divisors (1261677260459).

10002112221013 is a wasteful number, since it uses less digits than its factorization.

10002112221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077756.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10002112221013 its reverse (31012221120001), we get a palindrome (41014333341014).

The spelling of 10002112221013 in words is "ten trillion, two billion, one hundred twelve million, two hundred twenty-one thousand, thirteen".