101131222302101 has 2 divisors, whose sum is σ = 101131222302102. Its totient is φ = 101131222302100.

The previous prime is 101131222302091. The next prime is 101131222302109. The reversal of 101131222302101 is 101203222131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81368085221476 + 19763137080625 = 9020426^2 + 4445575^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131222302101 - 2¹⁸ = 101131222039957 is a prime.

It is a super-2 number, since 2×101131222302101² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131222302109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565611151050 + 50565611151051.

It is an arithmetic number, because the mean of its divisors is an integer number (50565611151051).

Almost surely, 2^{101131222302101} is an apocalyptic number.

It is an amenable number.

101131222302101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131222302101 is an equidigital number, since it uses as much as digits as its factorization.

101131222302101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101131222302101 its reverse (101203222131101), we get a palindrome (202334444433202).

The spelling of 101131222302101 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred twenty-two million, three hundred two thousand, one hundred one".