1022122122101 has 2 divisors, whose sum is σ = 1022122122102. Its totient is φ = 1022122122100.

The previous prime is 1022122122031. The next prime is 1022122122113. The reversal of 1022122122101 is 1012212212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 761476135876 + 260645986225 = 872626^2 + 510535^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022122122101 - 2¹⁰ = 1022122121077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022122122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022122122701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511061061050 + 511061061051.

It is an arithmetic number, because the mean of its divisors is an integer number (511061061051).

Almost surely, 2^{1022122122101} is an apocalyptic number.

It is an amenable number.

1022122122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022122122101 is an equidigital number, since it uses as much as digits as its factorization.

1022122122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1022122122101 its reverse (1012212212201), we get a palindrome (2034334334302).

The spelling of 1022122122101 in words is "one trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".