21220101122137 has 2 divisors, whose sum is σ = 21220101122138. Its totient is φ = 21220101122136.

The previous prime is 21220101122089. The next prime is 21220101122167. The reversal of 21220101122137 is 73122110102212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20820640465296 + 399460656841 = 4562964^2 + 632029^2 .

It is a cyclic number.

It is not a de Polignac number, because 21220101122137 - 2⁴³ = 12424008099929 is a prime.

It is not a weakly prime, because it can be changed into another prime (21220101122167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610050561068 + 10610050561069.

It is an arithmetic number, because the mean of its divisors is an integer number (10610050561069).

Almost surely, 2^{21220101122137} is an apocalyptic number.

It is an amenable number.

21220101122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21220101122137 is an equidigital number, since it uses as much as digits as its factorization.

21220101122137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 21220101122137 its reverse (73122110102212), we get a palindrome (94342211224349).

The spelling of 21220101122137 in words is "twenty-one trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred thirty-seven".