10100022020201 has 2 divisors, whose sum is σ = 10100022020202. Its totient is φ = 10100022020200.

The previous prime is 10100022020191. The next prime is 10100022020243. The reversal of 10100022020201 is 10202022000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9016663706176 + 1083358314025 = 3002776^2 + 1040845^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100022020201 - 2¹⁰ = 10100022019177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100022022201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050011010100 + 5050011010101.

It is an arithmetic number, because the mean of its divisors is an integer number (5050011010101).

Almost surely, 2^{10100022020201} is an apocalyptic number.

It is an amenable number.

10100022020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100022020201 is an equidigital number, since it uses as much as digits as its factorization.

10100022020201 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 11.

Adding to 10100022020201 its reverse (10202022000101), we get a palindrome (20302044020302).

The spelling of 10100022020201 in words is "ten trillion, one hundred billion, twenty-two million, twenty thousand, two hundred one".