101021122122101 has 2 divisors, whose sum is σ = 101021122122102. Its totient is φ = 101021122122100.

The previous prime is 101021122121999. The next prime is 101021122122133. The reversal of 101021122122101 is 101221221120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98191749180625 + 2829372941476 = 9909175^2 + 1682074^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021122122101 - 2²² = 101021117927797 is a prime.

It is a super-2 number, since 2×101021122122101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101021122122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021122122161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510561061050 + 50510561061051.

It is an arithmetic number, because the mean of its divisors is an integer number (50510561061051).

Almost surely, 2^{101021122122101} is an apocalyptic number.

It is an amenable number.

101021122122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021122122101 is an equidigital number, since it uses as much as digits as its factorization.

101021122122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101021122122101 its reverse (101221221120101), we get a palindrome (202242343242202).

The spelling of 101021122122101 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".