1010012122201 has 2 divisors, whose sum is σ = 1010012122202. Its totient is φ = 1010012122200.

The previous prime is 1010012122159. The next prime is 1010012122247. The reversal of 1010012122201 is 1022212100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 982239566400 + 27772555801 = 991080^2 + 166651^2 .

It is an emirp because it is prime and its reverse (1022212100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010012122201 - 2²⁷ = 1009877904473 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010012122261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505006061100 + 505006061101.

It is an arithmetic number, because the mean of its divisors is an integer number (505006061101).

Almost surely, 2^{1010012122201} is an apocalyptic number.

It is an amenable number.

1010012122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010012122201 is an equidigital number, since it uses as much as digits as its factorization.

1010012122201 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 13.

Adding to 1010012122201 its reverse (1022212100101), we get a palindrome (2032224222302).

The spelling of 1010012122201 in words is "one trillion, ten billion, twelve million, one hundred twenty-two thousand, two hundred one".