10002112112101 has 2 divisors, whose sum is σ = 10002112112102. Its totient is φ = 10002112112100.

The previous prime is 10002112112087. The next prime is 10002112112123. The reversal of 10002112112101 is 10121121120001.

It is a happy number.

10002112112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5578973140225 + 4423138971876 = 2361985^2 + 2103126^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002112112101 - 2²⁷ = 10001977894373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002110112101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001056056050 + 5001056056051.

It is an arithmetic number, because the mean of its divisors is an integer number (5001056056051).

Almost surely, 2^{10002112112101} is an apocalyptic number.

It is an amenable number.

10002112112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002112112101 is an equidigital number, since it uses as much as digits as its factorization.

10002112112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10002112112101 its reverse (10121121120001), we get a palindrome (20123233232102).

The spelling of 10002112112101 in words is "ten trillion, two billion, one hundred twelve million, one hundred twelve thousand, one hundred one".