210100000100001 has 16 divisors (see below), whose sum is σ = 305650371295488. Its totient is φ = 127312345414800.

The previous prime is 210100000099991. The next prime is 210100000100009. The reversal of 210100000100001 is 100001000001012.

It is not a de Polignac number, because 210100000100001 - 2¹⁵ = 210100000067233 is a prime.

210100000100001 is a modest number, since divided by 100001 gives 21010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (210100000100009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524496235 + ... + 524896656.

It is an arithmetic number, because the mean of its divisors is an integer number (19103148205968).

Almost surely, 2^{210100000100001} is an apocalyptic number.

It is an amenable number.

210100000100001 is a deficient number, since it is larger than the sum of its proper divisors (95550371195487).

210100000100001 is a wasteful number, since it uses less digits than its factorization.

210100000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049398972.

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

Adding to 210100000100001 its reverse (100001000001012), we get a palindrome (310101000101013).

The spelling of 210100000100001 in words is "two hundred ten trillion, one hundred billion, one hundred thousand, one".