101210221121137 has 2 divisors, whose sum is σ = 101210221121138. Its totient is φ = 101210221121136.

The previous prime is 101210221121129. The next prime is 101210221121221. The reversal of 101210221121137 is 731121122012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80543732347456 + 20666488773681 = 8974616^2 + 4546041^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210221121137 - 2³ = 101210221121129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101210221122137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605110560568 + 50605110560569.

It is an arithmetic number, because the mean of its divisors is an integer number (50605110560569).

Almost surely, 2^{101210221121137} is an apocalyptic number.

It is an amenable number.

101210221121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210221121137 is an equidigital number, since it uses as much as digits as its factorization.

101210221121137 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 25.

Adding to 101210221121137 its reverse (731121122012101), we get a palindrome (832331343133238).

The spelling of 101210221121137 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-seven".