101002102220101 has 2 divisors, whose sum is σ = 101002102220102. Its totient is φ = 101002102220100.

The previous prime is 101002102220059. The next prime is 101002102220137. The reversal of 101002102220101 is 101022201200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99965482979076 + 1036619241025 = 9998274^2 + 1018145^2 .

It is an emirp because it is prime and its reverse (101022201200101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101002102220101 - 2¹⁹ = 101002101695813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101005102220101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501051110050 + 50501051110051.

It is an arithmetic number, because the mean of its divisors is an integer number (50501051110051).

Almost surely, 2^{101002102220101} is an apocalyptic number.

It is an amenable number.

101002102220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002102220101 is an equidigital number, since it uses as much as digits as its factorization.

101002102220101 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 101002102220101 its reverse (101022201200101), we get a palindrome (202024303420202).

The spelling of 101002102220101 in words is "one hundred one trillion, two billion, one hundred two million, two hundred twenty thousand, one hundred one".