101011221220121 has 2 divisors, whose sum is σ = 101011221220122. Its totient is φ = 101011221220120.

The previous prime is 101011221220037. The next prime is 101011221220139. The reversal of 101011221220121 is 121022122110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86949358712896 + 14061862507225 = 9324664^2 + 3749915^2 .

It is an emirp because it is prime and its reverse (121022122110101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011221220121 is a prime.

It is a super-3 number, since 3×101011221220121³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011221220121.

It is not a weakly prime, because it can be changed into another prime (101011221220621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505610610060 + 50505610610061.

It is an arithmetic number, because the mean of its divisors is an integer number (50505610610061).

Almost surely, 2^{101011221220121} is an apocalyptic number.

It is an amenable number.

101011221220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011221220121 is an equidigital number, since it uses as much as digits as its factorization.

101011221220121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101011221220121 its reverse (121022122110101), we get a palindrome (222033343330222).

The spelling of 101011221220121 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".