10122201111001 has 16 divisors (see below), whose sum is σ = 11820713591808. Its totient is φ = 8488675213200.

The previous prime is 10122201110977. The next prime is 10122201111013. The reversal of 10122201111001 is 10011110222101.

It is a happy number.

It is not a de Polignac number, because 10122201111001 - 2⁷ = 10122201110873 is a prime.

It is a super-3 number, since 3×10122201111001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122201111101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77670015 + ... + 77800228.

It is an arithmetic number, because the mean of its divisors is an integer number (738794599488).

Almost surely, 2^{10122201111001} is an apocalyptic number.

It is an amenable number.

10122201111001 is a deficient number, since it is larger than the sum of its proper divisors (1698512480807).

10122201111001 is a wasteful number, since it uses less digits than its factorization.

10122201111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155470452.

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

Adding to 10122201111001 its reverse (10011110222101), we get a palindrome (20133311333102).

The spelling of 10122201111001 in words is "ten trillion, one hundred twenty-two billion, two hundred one million, one hundred eleven thousand, one".