101221122127 has 2 divisors, whose sum is σ = 101221122128. Its totient is φ = 101221122126.

The previous prime is 101221122089. The next prime is 101221122157. The reversal of 101221122127 is 721221122101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221122127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221122098 and 101221122107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221122157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610561063 + 50610561064.

It is an arithmetic number, because the mean of its divisors is an integer number (50610561064).

Almost surely, 2^101221122127 is an apocalyptic number.

101221122127 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221122127 is an equidigital number, since it uses as much as digits as its factorization.

101221122127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 101221122127 its reverse (721221122101), we get a palindrome (822442244228).

The spelling of 101221122127 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-seven".