101222022201101 has 2 divisors, whose sum is σ = 101222022201102. Its totient is φ = 101222022201100.

The previous prime is 101222022201077. The next prime is 101222022201107. The reversal of 101222022201101 is 101102220222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93182358916201 + 8039663284900 = 9653101^2 + 2835430^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222022201101 - 2¹⁸ = 101222021938957 is a prime.

It is a super-2 number, since 2×101222022201101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101222022201101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222022201107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611011100550 + 50611011100551.

It is an arithmetic number, because the mean of its divisors is an integer number (50611011100551).

Almost surely, 2^{101222022201101} is an apocalyptic number.

It is an amenable number.

101222022201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222022201101 is an equidigital number, since it uses as much as digits as its factorization.

101222022201101 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 101222022201101 its reverse (101102220222101), we get a palindrome (202324242423202).

The spelling of 101222022201101 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, two hundred one thousand, one hundred one".