1010010122201 has 16 divisors (see below), whose sum is σ = 1021652975616. Its totient is φ = 998441640000.

The previous prime is 1010010122197. The next prime is 1010010122203. The reversal of 1010010122201 is 1022210100101.

It is a cyclic number.

It is not a de Polignac number, because 1010010122201 - 2² = 1010010122197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010010122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50844011 + ... + 50863871.

It is an arithmetic number, because the mean of its divisors is an integer number (63853310976).

Almost surely, 2^{1010010122201} is an apocalyptic number.

It is an amenable number.

1010010122201 is a deficient number, since it is larger than the sum of its proper divisors (11642853415).

1010010122201 is a wasteful number, since it uses less digits than its factorization.

1010010122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21704.

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

Adding to 1010010122201 its reverse (1022210100101), we get a palindrome (2032220222302).

The spelling of 1010010122201 in words is "one trillion, ten billion, ten million, one hundred twenty-two thousand, two hundred one".