101000210001 has 16 divisors (see below), whose sum is σ = 135804748800. Its totient is φ = 66766826880.

The previous prime is 101000209987. The next prime is 101000210011. The reversal of 101000210001 is 100012000101.

It is not a de Polignac number, because 101000210001 - 2¹⁹ = 100999685713 is a prime.

It is a super-2 number, since 2×101000210001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101000210011) 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, 102226 + ... + 460923.

It is an arithmetic number, because the mean of its divisors is an integer number (8487796800).

Almost surely, 2^101000210001 is an apocalyptic number.

It is an amenable number.

101000210001 is a deficient number, since it is larger than the sum of its proper divisors (34804538799).

101000210001 is a wasteful number, since it uses less digits than its factorization.

101000210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563656.

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

Adding to 101000210001 its reverse (100012000101), we get a palindrome (201012210102).

The spelling of 101000210001 in words is "one hundred one billion, two hundred ten thousand, one".