10221100100021 has 2 divisors, whose sum is σ = 10221100100022. Its totient is φ = 10221100100020.

The previous prime is 10221100100011. The next prime is 10221100100089. The reversal of 10221100100021 is 12000100112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9995366787025 + 225733312996 = 3161545^2 + 475114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221100100021 is a prime.

It is a super-3 number, since 3×10221100100021³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221100099975 and 10221100100011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221100100011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110550050010 + 5110550050011.

It is an arithmetic number, because the mean of its divisors is an integer number (5110550050011).

Almost surely, 2^{10221100100021} is an apocalyptic number.

It is an amenable number.

10221100100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221100100021 is an equidigital number, since it uses as much as digits as its factorization.

10221100100021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10221100100021 its reverse (12000100112201), we get a palindrome (22221200212222).

The spelling of 10221100100021 in words is "ten trillion, two hundred twenty-one billion, one hundred million, one hundred thousand, twenty-one".