21002222100137 has 2 divisors, whose sum is σ = 21002222100138. Its totient is φ = 21002222100136.

The previous prime is 21002222100109. The next prime is 21002222100217. The reversal of 21002222100137 is 73100122220012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20945853368896 + 56368731241 = 4576664^2 + 237421^2 .

It is a cyclic number.

It is not a de Polignac number, because 21002222100137 - 2¹⁴ = 21002222083753 is a prime.

It is not a weakly prime, because it can be changed into another prime (21002222100037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10501111050068 + 10501111050069.

It is an arithmetic number, because the mean of its divisors is an integer number (10501111050069).

Almost surely, 2^{21002222100137} is an apocalyptic number.

It is an amenable number.

21002222100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21002222100137 is an equidigital number, since it uses as much as digits as its factorization.

21002222100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 21002222100137 its reverse (73100122220012), we get a palindrome (94102344320149).

The spelling of 21002222100137 in words is "twenty-one trillion, two billion, two hundred twenty-two million, one hundred thousand, one hundred thirty-seven".