101202002223221 has 2 divisors, whose sum is σ = 101202002223222. Its totient is φ = 101202002223220.

The previous prime is 101202002223193. The next prime is 101202002223227. The reversal of 101202002223221 is 122322200202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101059391008900 + 142611214321 = 10052830^2 + 377639^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202002223221 - 2¹⁸ = 101202001961077 is a prime.

It is a super-2 number, since 2×101202002223221² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101202002223193 and 101202002223202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101202002223227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601001111610 + 50601001111611.

It is an arithmetic number, because the mean of its divisors is an integer number (50601001111611).

Almost surely, 2^{101202002223221} is an apocalyptic number.

It is an amenable number.

101202002223221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202002223221 is an equidigital number, since it uses as much as digits as its factorization.

101202002223221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101202002223221 its reverse (122322200202101), we get a palindrome (223524202425322).

The spelling of 101202002223221 in words is "one hundred one trillion, two hundred two billion, two million, two hundred twenty-three thousand, two hundred twenty-one".