10010111122201 has 6 divisors (see below), whose sum is σ = 10260215030606. Its totient is φ = 9765962068800.

The previous prime is 10010111122171. The next prime is 10010111122237. The reversal of 10010111122201 is 10222111101001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 101022601 + 10010010099600 = 10051^2 + 3163860^2 .

It is not a de Polignac number, because 10010111122201 - 2³⁷ = 9872672168729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010111122601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2977425780 + ... + 2977429141.

Almost surely, 2^{10010111122201} is an apocalyptic number.

It is an amenable number.

10010111122201 is a deficient number, since it is larger than the sum of its proper divisors (250103908405).

10010111122201 is an frugal number, since it uses more digits than its factorization.

10010111122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954855003 (or 5954854962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10010111122201 its reverse (10222111101001), we get a palindrome (20232222223202).

It can be divided in two parts, 1001011 and 1122201, that added together give a palindrome (2123212).

The spelling of 10010111122201 in words is "ten trillion, ten billion, one hundred eleven million, one hundred twenty-two thousand, two hundred one".