221012262210137 has 2 divisors, whose sum is σ = 221012262210138. Its totient is φ = 221012262210136.

The previous prime is 221012262210119. The next prime is 221012262210149. The reversal of 221012262210137 is 731012262210122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114501213874576 + 106511048335561 = 10700524^2 + 10320419^2 .

It is a cyclic number.

It is not a de Polignac number, because 221012262210137 - 2¹⁰ = 221012262209113 is a prime.

It is not a weakly prime, because it can be changed into another prime (221012262210437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110506131105068 + 110506131105069.

It is an arithmetic number, because the mean of its divisors is an integer number (110506131105069).

Almost surely, 2^{221012262210137} is an apocalyptic number.

It is an amenable number.

221012262210137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221012262210137 is an equidigital number, since it uses as much as digits as its factorization.

221012262210137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 221012262210137 in words is "two hundred twenty-one trillion, twelve billion, two hundred sixty-two million, two hundred ten thousand, one hundred thirty-seven".