1011002211221 has 2 divisors, whose sum is σ = 1011002211222. Its totient is φ = 1011002211220.

The previous prime is 1011002211187. The next prime is 1011002211229. The reversal of 1011002211221 is 1221122001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1004916027025 + 6086184196 = 1002455^2 + 78014^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011002211221 - 2²⁶ = 1010935102357 is a prime.

It is a super-3 number, since 3×1011002211221³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011002211196 and 1011002211205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011002211229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505501105610 + 505501105611.

It is an arithmetic number, because the mean of its divisors is an integer number (505501105611).

Almost surely, 2^{1011002211221} is an apocalyptic number.

It is an amenable number.

1011002211221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011002211221 is an equidigital number, since it uses as much as digits as its factorization.

1011002211221 is an evil number, because the sum of its binary digits is even.

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

Adding to 1011002211221 its reverse (1221122001101), we get a palindrome (2232124212322).

The spelling of 1011002211221 in words is "one trillion, eleven billion, two million, two hundred eleven thousand, two hundred twenty-one".