10100010221101 has 2 divisors, whose sum is σ = 10100010221102. Its totient is φ = 10100010221100.

The previous prime is 10100010221089. The next prime is 10100010221131. The reversal of 10100010221101 is 10112201000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9184354524900 + 915655696201 = 3030570^2 + 956899^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010221101 - 2³¹ = 10097862737453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010221131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005110550 + 5050005110551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005110551).

Almost surely, 2^{10100010221101} is an apocalyptic number.

It is an amenable number.

10100010221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010221101 is an equidigital number, since it uses as much as digits as its factorization.

10100010221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100010221101 its reverse (10112201000101), we get a palindrome (20212211221202).

The spelling of 10100010221101 in words is "ten trillion, one hundred billion, ten million, two hundred twenty-one thousand, one hundred one".