101221110022013 has 2 divisors, whose sum is σ = 101221110022014. Its totient is φ = 101221110022012.

The previous prime is 101221110021979. The next prime is 101221110022037. The reversal of 101221110022013 is 310220011122101.

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., 62985524340964 + 38235585681049 = 7936342^2 + 6183493^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221110022013 - 2³² = 101216815054717 is a prime.

It is a super-2 number, since 2×101221110022013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221110021982 and 101221110022000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221110022093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610555011006 + 50610555011007.

It is an arithmetic number, because the mean of its divisors is an integer number (50610555011007).

Almost surely, 2^{101221110022013} is an apocalyptic number.

It is an amenable number.

101221110022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221110022013 is an equidigital number, since it uses as much as digits as its factorization.

101221110022013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101221110022013 its reverse (310220011122101), we get a palindrome (411441121144114).

The spelling of 101221110022013 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred ten million, twenty-two thousand, thirteen".