102022221104101 has 2 divisors, whose sum is σ = 102022221104102. Its totient is φ = 102022221104100.

The previous prime is 102022221104071. The next prime is 102022221104119. The reversal of 102022221104101 is 101401122220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83050961032900 + 18971260071201 = 9113230^2 + 4355601^2 .

It is an emirp because it is prime and its reverse (101401122220201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102022221104101 - 2⁹ = 102022221103589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102022221104201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51011110552050 + 51011110552051.

It is an arithmetic number, because the mean of its divisors is an integer number (51011110552051).

Almost surely, 2^{102022221104101} is an apocalyptic number.

It is an amenable number.

102022221104101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022221104101 is an equidigital number, since it uses as much as digits as its factorization.

102022221104101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102022221104101 its reverse (101401122220201), we get a palindrome (203423343324302).

The spelling of 102022221104101 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, one hundred four thousand, one hundred one".