10111201122001 has 16 divisors (see below), whose sum is σ = 12130282450944. Its totient is φ = 8240288555664.

The previous prime is 10111201121993. The next prime is 10111201122041. The reversal of 10111201122001 is 10022110211101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10111201122001 - 2³ = 10111201121993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111201122041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188004525 + ... + 188058298.

It is an arithmetic number, because the mean of its divisors is an integer number (758142653184).

Almost surely, 2^{10111201122001} is an apocalyptic number.

It is an amenable number.

10111201122001 is a deficient number, since it is larger than the sum of its proper divisors (2019081328943).

10111201122001 is a wasteful number, since it uses less digits than its factorization.

10111201122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376063020.

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

Adding to 10111201122001 its reverse (10022110211101), we get a palindrome (20133311333102).

The spelling of 10111201122001 in words is "ten trillion, one hundred eleven billion, two hundred one million, one hundred twenty-two thousand, one".