21020101001 has 8 divisors (see below), whose sum is σ = 21796595400. Its totient is φ = 20247050880.

The previous prime is 21020100973. The next prime is 21020101073. The reversal of 21020101001 is 10010102012.

It can be written as a sum of positive squares in 4 ways, for example, as 81721600 + 20938379401 = 9040^2 + 144701^2 .

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 21020101001 - 2³⁰ = 19946359177 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 21020101001.

It is not an unprimeable number, because it can be changed into a prime (21020101301) 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, 848636 + ... + 873053.

It is an arithmetic number, because the mean of its divisors is an integer number (2724574425).

Almost surely, 2^21020101001 is an apocalyptic number.

It is an amenable number.

21020101001 is a deficient number, since it is larger than the sum of its proper divisors (776494399).

21020101001 is a wasteful number, since it uses less digits than its factorization.

21020101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722139.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21020101001 its reverse (10010102012), we get a palindrome (31030203013).

The spelling of 21020101001 in words is "twenty-one billion, twenty million, one hundred one thousand, one".