101021112221 has 2 divisors, whose sum is σ = 101021112222. Its totient is φ = 101021112220.

The previous prime is 101021112167. The next prime is 101021112223. The reversal of 101021112221 is 122211120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57594720121 + 43426392100 = 239989^2 + 208390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101021112221 is a prime.

It is a super-2 number, since 2×101021112221² (a number of 23 digits) contains 22 as substring.

Together with 101021112223, 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 = 101021112196 and 101021112205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021112223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510556110 + 50510556111.

It is an arithmetic number, because the mean of its divisors is an integer number (50510556111).

Almost surely, 2^101021112221 is an apocalyptic number.

It is an amenable number.

101021112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021112221 is an equidigital number, since it uses as much as digits as its factorization.

101021112221 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 101021112221 its reverse (122211120101), we get a palindrome (223232232322).

The spelling of 101021112221 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, two hundred twenty-one".