10221200100111 has 64 divisors (see below), whose sum is σ = 18337787145216. Its totient is φ = 4890642278400.

The previous prime is 10221200100101. The next prime is 10221200100157. The reversal of 10221200100111 is 11100100212201.

It is not a de Polignac number, because 10221200100111 - 2¹⁰ = 10221200099087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200100101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2307226 + ... + 5075991.

It is an arithmetic number, because the mean of its divisors is an integer number (286527924144).

Almost surely, 2^{10221200100111} is an apocalyptic number.

10221200100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221200100111 is a deficient number, since it is larger than the sum of its proper divisors (8116587045105).

10221200100111 is a wasteful number, since it uses less digits than its factorization.

10221200100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383712.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221200100111 its reverse (11100100212201), we get a palindrome (21321300312312).

The spelling of 10221200100111 in words is "ten trillion, two hundred twenty-one billion, two hundred million, one hundred thousand, one hundred eleven".