100021022021 has 2 divisors, whose sum is σ = 100021022022. Its totient is φ = 100021022020.

The previous prime is 100021021979. The next prime is 100021022063. The reversal of 100021022021 is 120220120001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100021021979) and next prime (100021022063).

It can be written as a sum of positive squares in only one way, i.e., 97913293921 + 2107728100 = 312911^2 + 45910^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100021022021 is a prime.

It is a super-2 number, since 2×100021022021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100021021993 and 100021022011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100021022071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010511010 + 50010511011.

It is an arithmetic number, because the mean of its divisors is an integer number (50010511011).

Almost surely, 2^100021022021 is an apocalyptic number.

It is an amenable number.

100021022021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021022021 is an equidigital number, since it uses as much as digits as its factorization.

100021022021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100021022021 its reverse (120220120001), we get a palindrome (220241142022).

The spelling of 100021022021 in words is "one hundred billion, twenty-one million, twenty-two thousand, twenty-one".