1000102223221 has 2 divisors, whose sum is σ = 1000102223222. Its totient is φ = 1000102223220.

The previous prime is 1000102223207. The next prime is 1000102223233. The reversal of 1000102223221 is 1223222010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 869297034321 + 130805188900 = 932361^2 + 361670^2 .

It is an emirp because it is prime and its reverse (1223222010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000102223221 - 2¹⁷ = 1000102092149 is a prime.

It is a super-2 number, since 2×1000102223221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000102223195 and 1000102223204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000102223251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051111610 + 500051111611.

It is an arithmetic number, because the mean of its divisors is an integer number (500051111611).

Almost surely, 2^{1000102223221} is an apocalyptic number.

It is an amenable number.

1000102223221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102223221 is an equidigital number, since it uses as much as digits as its factorization.

1000102223221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1000102223221 its reverse (1223222010001), we get a palindrome (2223324233222).

The spelling of 1000102223221 in words is "one trillion, one hundred two million, two hundred twenty-three thousand, two hundred twenty-one".