10000212100101 has 24 divisors (see below), whose sum is σ = 14609173063680. Its totient is φ = 6590942635200.

The previous prime is 10000212100079. The next prime is 10000212100129. The reversal of 10000212100101 is 10100121200001.

It is a happy number.

It is not a de Polignac number, because 10000212100101 - 2¹¹ = 10000212098053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000212104101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4632466 + ... + 6438956.

It is an arithmetic number, because the mean of its divisors is an integer number (608715544320).

Almost surely, 2^{10000212100101} is an apocalyptic number.

It is an amenable number.

10000212100101 is a deficient number, since it is larger than the sum of its proper divisors (4608960963579).

10000212100101 is a wasteful number, since it uses less digits than its factorization.

10000212100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813497 (or 1813494 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000212100101 its reverse (10100121200001), we get a palindrome (20100333300102).

The spelling of 10000212100101 in words is "ten trillion, two hundred twelve million, one hundred thousand, one hundred one".