10000212101101 has 32 divisors (see below), whose sum is σ = 10711409068800. Its totient is φ = 9303009408000.

The previous prime is 10000212101083. The next prime is 10000212101119. The reversal of 10000212101101 is 10110121200001.

10000212101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10000212101083) and next prime (10000212101119).

It is a cyclic number.

It is not a de Polignac number, because 10000212101101 - 2⁹ = 10000212100589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000212101161) 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, 4327221736 + ... + 4327224046.

It is an arithmetic number, because the mean of its divisors is an integer number (334731533400).

Almost surely, 2^{10000212101101} is an apocalyptic number.

It is an amenable number.

10000212101101 is a deficient number, since it is larger than the sum of its proper divisors (711196967699).

10000212101101 is a wasteful number, since it uses less digits than its factorization.

10000212101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605.

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

Adding to 10000212101101 its reverse (10110121200001), we get a palindrome (20110333301102).

The spelling of 10000212101101 in words is "ten trillion, two hundred twelve million, one hundred one thousand, one hundred one".