102020303020201 has 32 divisors (see below), whose sum is σ = 105225068971296. Its totient is φ = 98889310080000.

The previous prime is 102020303020189. The next prime is 102020303020247.

102020303020201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 20398546425625 + 81621756594576 = 4516475^2 + 9034476^2 .

It is not a de Polignac number, because 102020303020201 - 2¹⁵ = 102020302987433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102020303020271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10304035351 + ... + 10304045251.

It is an arithmetic number, because the mean of its divisors is an integer number (3288283405353).

Almost surely, 2^{102020303020201} is an apocalyptic number.

It is an amenable number.

102020303020201 is a deficient number, since it is larger than the sum of its proper divisors (3204765951095).

102020303020201 is an frugal number, since it uses more digits than its factorization.

102020303020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 10202030 and 3020201, that added together give a palindrome (13222231).

The spelling of 102020303020201 in words is "one hundred two trillion, twenty billion, three hundred three million, twenty thousand, two hundred one".