10000210112101 has 32 divisors (see below), whose sum is σ = 11938152923136. Its totient is φ = 8270253792000.

The previous prime is 10000210112089. The next prime is 10000210112159. The reversal of 10000210112101 is 10121101200001.

10000210112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10000210112101 - 2⁹ = 10000210111589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000210112201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3722896 + ... + 5818966.

It is an arithmetic number, because the mean of its divisors is an integer number (373067278848).

Almost surely, 2^{10000210112101} is an apocalyptic number.

10000210112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000210112101 is a deficient number, since it is larger than the sum of its proper divisors (1937942811035).

10000210112101 is a wasteful number, since it uses less digits than its factorization.

10000210112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096953.

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

Adding to 10000210112101 its reverse (10121101200001), we get a palindrome (20121311312102).

The spelling of 10000210112101 in words is "ten trillion, two hundred ten million, one hundred twelve thousand, one hundred one".