2101201221137 has 2 divisors, whose sum is σ = 2101201221138. Its totient is φ = 2101201221136.

The previous prime is 2101201221101. The next prime is 2101201221149. The reversal of 2101201221137 is 7311221021012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1957875376081 + 143325845056 = 1399241^2 + 378584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101201221137 - 2¹⁰ = 2101201220113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101201221157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050600610568 + 1050600610569.

It is an arithmetic number, because the mean of its divisors is an integer number (1050600610569).

Almost surely, 2^{2101201221137} is an apocalyptic number.

It is an amenable number.

2101201221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101201221137 is an equidigital number, since it uses as much as digits as its factorization.

2101201221137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 2101201221137 its reverse (7311221021012), we get a palindrome (9412422242149).

The spelling of 2101201221137 in words is "two trillion, one hundred one billion, two hundred one million, two hundred twenty-one thousand, one hundred thirty-seven".