2001102222013 has 6 divisors (see below), whose sum is σ = 2072485179674. Its totient is φ = 1932098696304.

The previous prime is 2001102221917. The next prime is 2001102222059. The reversal of 2001102222013 is 3102222011002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 46189316889 + 1954912905124 = 214917^2 + 1398182^2 .

It is not a de Polignac number, because 2001102222013 - 2¹³ = 2001102213821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001102222113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1189715106 + ... + 1189716787.

Almost surely, 2^{2001102222013} is an apocalyptic number.

It is an amenable number.

2001102222013 is a deficient number, since it is larger than the sum of its proper divisors (71382957661).

2001102222013 is an equidigital number, since it uses as much as digits as its factorization.

2001102222013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379431951 (or 2379431922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2001102222013 its reverse (3102222011002), we get a palindrome (5103324233015).

The spelling of 2001102222013 in words is "two trillion, one billion, one hundred two million, two hundred twenty-two thousand, thirteen".