20100202021001 has 16 divisors (see below), whose sum is σ = 20653129729680. Its totient is φ = 19555523297280.

The previous prime is 20100202020959. The next prime is 20100202021043. The reversal of 20100202021001 is 10012020200102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20100202020959) and next prime (20100202021043).

It can be written as a sum of positive squares in 8 ways, for example, as 1811578710601 + 18288623310400 = 1345949^2 + 4276520^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100202021001 - 2¹⁰ = 20100202019977 is a prime.

It is a super-3 number, since 3×20100202021001³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20100202021901) 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, 2026616 + ... + 6656393.

It is an arithmetic number, because the mean of its divisors is an integer number (1290820608105).

Almost surely, 2^{20100202021001} is an apocalyptic number.

It is an amenable number.

20100202021001 is a deficient number, since it is larger than the sum of its proper divisors (552927708679).

20100202021001 is a wasteful number, since it uses less digits than its factorization.

20100202021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683484.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20100202021001 its reverse (10012020200102), we get a palindrome (30112222221103).

The spelling of 20100202021001 in words is "twenty trillion, one hundred billion, two hundred two million, twenty-one thousand, one".