210100210100001 has 96 divisors (see below), whose sum is σ = 341482327280640. Its totient is φ = 128321091259200.

The previous prime is 210100210099951. The next prime is 210100210100023. The reversal of 210100210100001 is 100001012001012.

It is a happy number.

It is not a de Polignac number, because 210100210100001 - 2⁶ = 210100210099937 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210100210105001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238852086 + ... + 239730096.

It is an arithmetic number, because the mean of its divisors is an integer number (3557107575840).

Almost surely, 2^{210100210100001} is an apocalyptic number.

It is an amenable number.

210100210100001 is a deficient number, since it is larger than the sum of its proper divisors (131382117180639).

210100210100001 is a wasteful number, since it uses less digits than its factorization.

210100210100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878609 (or 878597 counting only the distinct ones).

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

Adding to 210100210100001 its reverse (100001012001012), we get a palindrome (310101222101013).

The spelling of 210100210100001 in words is "two hundred ten trillion, one hundred billion, two hundred ten million, one hundred thousand, one".