101010211001 has 8 divisors (see below), whose sum is σ = 115514779200. Its totient is φ = 86524277328.

The previous prime is 101010210911. The next prime is 101010211007. The reversal of 101010211001 is 100112010101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101010211001 - 2¹⁰ = 101010209977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101010211001.

It is not an unprimeable number, because it can be changed into a prime (101010211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4647011 + ... + 4668696.

It is an arithmetic number, because the mean of its divisors is an integer number (14439347400).

Almost surely, 2^101010211001 is an apocalyptic number.

It is an amenable number.

101010211001 is a deficient number, since it is larger than the sum of its proper divisors (14504568199).

101010211001 is an equidigital number, since it uses as much as digits as its factorization.

101010211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317263.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101010211001 its reverse (100112010101), we get a palindrome (201122221102).

Subtracting from 101010211001 its reverse (100112010101), we obtain a square (898200900 = 29970²).

The spelling of 101010211001 in words is "one hundred one billion, ten million, two hundred eleven thousand, one".