10101221010137 has 2 divisors, whose sum is σ = 10101221010138. Its totient is φ = 10101221010136.

The previous prime is 10101221010091. The next prime is 10101221010151. The reversal of 10101221010137 is 73101012210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9989544069376 + 111676940761 = 3160624^2 + 334181^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101221010137 - 2²⁶ = 10101153901273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101221016137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050610505068 + 5050610505069.

It is an arithmetic number, because the mean of its divisors is an integer number (5050610505069).

Almost surely, 2^{10101221010137} is an apocalyptic number.

It is an amenable number.

10101221010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101221010137 is an equidigital number, since it uses as much as digits as its factorization.

10101221010137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 10101221010137 its reverse (73101012210101), we get a palindrome (83202233220238).

The spelling of 10101221010137 in words is "ten trillion, one hundred one billion, two hundred twenty-one million, ten thousand, one hundred thirty-seven".