210010101001 has 8 divisors (see below), whose sum is σ = 226008942984. Its totient is φ = 194416293120.

The previous prime is 210010100999. The next prime is 210010101017. The reversal of 210010101001 is 100101010012.

It can be written as a sum of positive squares in 4 ways, for example, as 24205136400 + 185804964601 = 155580^2 + 431051^2 .

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 210010101001 - 2¹ = 210010100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210010101401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101257450 + ... + 101259523.

It is an arithmetic number, because the mean of its divisors is an integer number (28251117873).

Almost surely, 2^210010101001 is an apocalyptic number.

It is an amenable number.

210010101001 is a deficient number, since it is larger than the sum of its proper divisors (15998841983).

210010101001 is a wasteful number, since it uses less digits than its factorization.

210010101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202517051.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 210010101001 its reverse (100101010012), we get a palindrome (310111111013).

It can be divided in two parts, 2 and 10010101001, that multiplied together give a palindrome (20020202002).

The spelling of 210010101001 in words is "two hundred ten billion, ten million, one hundred one thousand, one".