10100222110111 has 48 divisors (see below), whose sum is σ = 11956839840000. Its totient is φ = 8505093598848.

The previous prime is 10100222110091. The next prime is 10100222110141. The reversal of 10100222110111 is 11101122200101.

It is a happy number.

It is not a de Polignac number, because 10100222110111 - 2⁷ = 10100222109983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100222110091 and 10100222110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100222110141) 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 47 ways as a sum of consecutive naturals, for example, 2800170670 + ... + 2800174276.

It is an arithmetic number, because the mean of its divisors is an integer number (249100830000).

Almost surely, 2^{10100222110111} is an apocalyptic number.

10100222110111 is a deficient number, since it is larger than the sum of its proper divisors (1856617729889).

10100222110111 is a wasteful number, since it uses less digits than its factorization.

10100222110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5749 counting only the distinct ones).

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

Adding to 10100222110111 its reverse (11101122200101), we get a palindrome (21201344310212).

The spelling of 10100222110111 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred ten thousand, one hundred eleven".