210001102122001 has 8 divisors (see below), whose sum is σ = 210598911613800. Its totient is φ = 209403309046272.

The previous prime is 210001102121981. The next prime is 210001102122013. The reversal of 210001102122001 is 100221201100012.

210001102122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20080042117776 + 189921060004225 = 4481076^2 + 13781185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 210001102122001 - 2⁵ = 210001102121969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210001102122101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21748675 + ... + 29883223.

It is an arithmetic number, because the mean of its divisors is an integer number (26324863951725).

Almost surely, 2^{210001102122001} is an apocalyptic number.

It is an amenable number.

210001102122001 is a deficient number, since it is larger than the sum of its proper divisors (597809491799).

210001102122001 is an equidigital number, since it uses as much as digits as its factorization.

210001102122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208035.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210001102122001 its reverse (100221201100012), we get a palindrome (310222303222013).

The spelling of 210001102122001 in words is "two hundred ten trillion, one billion, one hundred two million, one hundred twenty-two thousand, one".