210010100000001 has 48 divisors (see below), whose sum is σ = 328344886072320. Its totient is φ = 116927768482560.

The previous prime is 210010099999969. The next prime is 210010100000039. The reversal of 210010100000001 is 100000001010012.

It is not a de Polignac number, because 210010100000001 - 2⁵ = 210010099999969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210010100000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9183636 + ... + 22457946.

It is an arithmetic number, because the mean of its divisors is an integer number (6840518459840).

Almost surely, 2^{210010100000001} is an apocalyptic number.

210010100000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210010100000001 is a deficient number, since it is larger than the sum of its proper divisors (118334786072319).

210010100000001 is a wasteful number, since it uses less digits than its factorization.

210010100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274606 (or 13274493 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 210010100000001 its reverse (100000001010012), we get a palindrome (310010101010013).

The spelling of 210010100000001 in words is "two hundred ten trillion, ten billion, one hundred million, one", and thus it is an aban number.