100022121013 has 2 divisors, whose sum is σ = 100022121014. Its totient is φ = 100022121012.

The previous prime is 100022120981. The next prime is 100022121041. The reversal of 100022121013 is 310121220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98120550564 + 1901570449 = 313242^2 + 43607^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022121013 - 2⁵ = 100022120981 is a prime.

It is a super-2 number, since 2×100022121013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022120984 and 100022121002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022121313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011060506 + 50011060507.

It is an arithmetic number, because the mean of its divisors is an integer number (50011060507).

Almost surely, 2^100022121013 is an apocalyptic number.

It is an amenable number.

100022121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022121013 is an equidigital number, since it uses as much as digits as its factorization.

100022121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100022121013 its reverse (310121220001), we get a palindrome (410143341014).

The spelling of 100022121013 in words is "one hundred billion, twenty-two million, one hundred twenty-one thousand, thirteen".