2010102221137 has 2 divisors, whose sum is σ = 2010102221138. Its totient is φ = 2010102221136.

The previous prime is 2010102221111. The next prime is 2010102221143. The reversal of 2010102221137 is 7311222010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1996015142416 + 14087078721 = 1412804^2 + 118689^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010102221137 - 2¹⁹ = 2010101696849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010102221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005051110568 + 1005051110569.

It is an arithmetic number, because the mean of its divisors is an integer number (1005051110569).

Almost surely, 2^{2010102221137} is an apocalyptic number.

It is an amenable number.

2010102221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010102221137 is an equidigital number, since it uses as much as digits as its factorization.

2010102221137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 2010102221137 its reverse (7311222010102), we get a palindrome (9321324231239).

The spelling of 2010102221137 in words is "two trillion, ten billion, one hundred two million, two hundred twenty-one thousand, one hundred thirty-seven".