101022110222101 has 2 divisors, whose sum is σ = 101022110222102. Its totient is φ = 101022110222100.

The previous prime is 101022110222071. The next prime is 101022110222119. The reversal of 101022110222101 is 101222011220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100768370339025 + 253739883076 = 10038345^2 + 503726^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022110222101 - 2²⁹ = 101021573351189 is a prime.

It is a super-3 number, since 3×101022110222101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101026110222101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511055111050 + 50511055111051.

It is an arithmetic number, because the mean of its divisors is an integer number (50511055111051).

Almost surely, 2^{101022110222101} is an apocalyptic number.

It is an amenable number.

101022110222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022110222101 is an equidigital number, since it uses as much as digits as its factorization.

101022110222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101022110222101 its reverse (101222011220101), we get a palindrome (202244121442202).

The spelling of 101022110222101 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, two hundred twenty-two thousand, one hundred one".