2101211013337 has 2 divisors, whose sum is σ = 2101211013338. Its totient is φ = 2101211013336.

The previous prime is 2101211013313. The next prime is 2101211013367. The reversal of 2101211013337 is 7333101121012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2061719785161 + 39491228176 = 1435869^2 + 198724^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101211013337 - 2¹⁵ = 2101210980569 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101211013367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050605506668 + 1050605506669.

It is an arithmetic number, because the mean of its divisors is an integer number (1050605506669).

Almost surely, 2^{2101211013337} is an apocalyptic number.

It is an amenable number.

2101211013337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101211013337 is an equidigital number, since it uses as much as digits as its factorization.

2101211013337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 2101211013337 its reverse (7333101121012), we get a palindrome (9434312134349).

The spelling of 2101211013337 in words is "two trillion, one hundred one billion, two hundred eleven million, thirteen thousand, three hundred thirty-seven".