1001022122101 has 2 divisors, whose sum is σ = 1001022122102. Its totient is φ = 1001022122100.

The previous prime is 1001022122083. The next prime is 1001022122147. The reversal of 1001022122101 is 1012212201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 943326562500 + 57695559601 = 971250^2 + 240199^2 .

It is an emirp because it is prime and its reverse (1012212201001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001022122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001022122501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500511061050 + 500511061051.

It is an arithmetic number, because the mean of its divisors is an integer number (500511061051).

Almost surely, 2^{1001022122101} is an apocalyptic number.

It is an amenable number.

1001022122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001022122101 is an equidigital number, since it uses as much as digits as its factorization.

1001022122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1001022122101 its reverse (1012212201001), we get a palindrome (2013234323102).

The spelling of 1001022122101 in words is "one trillion, one billion, twenty-two million, one hundred twenty-two thousand, one hundred one".