210002101100001 has 192 divisors, whose sum is σ = 367618966041600. Its totient is φ = 112993903411200.

The previous prime is 210002101099969. The next prime is 210002101100003. The reversal of 210002101100001 is 100001101200012.

It is a happy number.

It is not a de Polignac number, because 210002101100001 - 2⁵ = 210002101099969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (210002101100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34488763765 + ... + 34488769853.

It is an arithmetic number, because the mean of its divisors is an integer number (1914682114800).

Almost surely, 2^{210002101100001} is an apocalyptic number.

210002101100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210002101100001 is a deficient number, since it is larger than the sum of its proper divisors (157616864941599).

210002101100001 is a wasteful number, since it uses less digits than its factorization.

210002101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9037 counting only the distinct ones).

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

Adding to 210002101100001 its reverse (100001101200012), we get a palindrome (310003202300013).

The spelling of 210002101100001 in words is "two hundred ten trillion, two billion, one hundred one million, one hundred thousand, one".