210100201212001 has 8 divisors (see below), whose sum is σ = 210122598753704. Its totient is φ = 210077804793600.

The previous prime is 210100201211981. The next prime is 210100201212227. The reversal of 210100201212001 is 100212102001012.

210100201212001 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 1161704574976 + 208938496637025 = 1077824^2 + 14454705^2 .

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 210100201212001 - 2¹¹ = 210100201209953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210100201210001) 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, 404323051 + ... + 404842351.

It is an arithmetic number, because the mean of its divisors is an integer number (26265324844213).

Almost surely, 2^{210100201212001} is an apocalyptic number.

It is an amenable number.

210100201212001 is a deficient number, since it is larger than the sum of its proper divisors (22397541703).

210100201212001 is a wasteful number, since it uses less digits than its factorization.

210100201212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561651.

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

Adding to 210100201212001 its reverse (100212102001012), we get a palindrome (310312303213013).

The spelling of 210100201212001 in words is "two hundred ten trillion, one hundred billion, two hundred one million, two hundred twelve thousand, one".