10111221100001 has 16 divisors (see below), whose sum is σ = 12164043964800. Its totient is φ = 8210501584128.

The previous prime is 10111221099977. The next prime is 10111221100009. The reversal of 10111221100001 is 10000112211101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111221100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111221100009) 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, 9846695 + ... + 10824963.

It is an arithmetic number, because the mean of its divisors is an integer number (760252747800).

Almost surely, 2^{10111221100001} is an apocalyptic number.

It is an amenable number.

10111221100001 is a deficient number, since it is larger than the sum of its proper divisors (2052822864799).

10111221100001 is an equidigital number, since it uses as much as digits as its factorization.

10111221100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056008.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10111221100001 its reverse (10000112211101), we get a palindrome (20111333311102).

Subtracting from 10111221100001 its reverse (10000112211101), we obtain a square (111108888900 = 333330²).

The spelling of 10111221100001 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thousand, one".