1010221120121 has 2 divisors, whose sum is σ = 1010221120122. Its totient is φ = 1010221120120.

The previous prime is 1010221120099. The next prime is 1010221120123. The reversal of 1010221120121 is 1210211220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 934439288896 + 75781831225 = 966664^2 + 275285^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010221120121 is a prime.

It is a super-2 number, since 2×1010221120121² (a number of 25 digits) contains 22 as substring.

Together with 1010221120123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010221120096 and 1010221120105.

It is not a weakly prime, because it can be changed into another prime (1010221120123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505110560060 + 505110560061.

It is an arithmetic number, because the mean of its divisors is an integer number (505110560061).

Almost surely, 2^{1010221120121} is an apocalyptic number.

It is an amenable number.

1010221120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010221120121 is an equidigital number, since it uses as much as digits as its factorization.

1010221120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1010221120121 its reverse (1210211220101), we get a palindrome (2220432340222).

The spelling of 1010221120121 in words is "one trillion, ten billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".