101101210122221 has 2 divisors, whose sum is σ = 101101210122222. Its totient is φ = 101101210122220.

The previous prime is 101101210122191. The next prime is 101101210122257. The reversal of 101101210122221 is 122221012101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85076088268900 + 16025121853321 = 9223670^2 + 4003139^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101210122221 - 2³⁸ = 100826332215277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101210122221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101210122721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550605061110 + 50550605061111.

It is an arithmetic number, because the mean of its divisors is an integer number (50550605061111).

Almost surely, 2^{101101210122221} is an apocalyptic number.

It is an amenable number.

101101210122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101210122221 is an equidigital number, since it uses as much as digits as its factorization.

101101210122221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101101210122221 its reverse (122221012101101), we get a palindrome (223322222223322).

The spelling of 101101210122221 in words is "one hundred one trillion, one hundred one billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty-one".