101022102110101 has 2 divisors, whose sum is σ = 101022102110102. Its totient is φ = 101022102110100.

The previous prime is 101022102110081. The next prime is 101022102110201. The reversal of 101022102110101 is 101011201220101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82440407308900 + 18581694801201 = 9079670^2 + 4310649^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022102110101 - 2¹⁵ = 101022102077333 is a prime.

It is a super-2 number, since 2×101022102110101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022102110201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511051055050 + 50511051055051.

It is an arithmetic number, because the mean of its divisors is an integer number (50511051055051).

Almost surely, 2^{101022102110101} is an apocalyptic number.

It is an amenable number.

101022102110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022102110101 is an equidigital number, since it uses as much as digits as its factorization.

101022102110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101022102110101 its reverse (101011201220101), we get a palindrome (202033303330202).

The spelling of 101022102110101 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred ten thousand, one hundred one".