101202221110121 has 2 divisors, whose sum is σ = 101202221110122. Its totient is φ = 101202221110120.

The previous prime is 101202221110103. The next prime is 101202221110127. The reversal of 101202221110121 is 121011122202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64724679877225 + 36477541232896 = 8045165^2 + 6039664^2 .

It is an emirp because it is prime and its reverse (121011122202101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101202221110121 - 2³⁰ = 101201147368297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101202221110121.

It is not a weakly prime, because it can be changed into another prime (101202221110127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601110555060 + 50601110555061.

It is an arithmetic number, because the mean of its divisors is an integer number (50601110555061).

Almost surely, 2^{101202221110121} is an apocalyptic number.

It is an amenable number.

101202221110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202221110121 is an equidigital number, since it uses as much as digits as its factorization.

101202221110121 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 17.

Adding to 101202221110121 its reverse (121011122202101), we get a palindrome (222213343312222).

The spelling of 101202221110121 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty-one".