100210221222111 has 128 divisors (see below), whose sum is σ = 201731929620480. Its totient is φ = 47473902230400.

The previous prime is 100210221222073. The next prime is 100210221222119. The reversal of 100210221222111 is 111222122012001.

100210221222111 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 221 + 2 + 221 + 11 = 666.

It is not a de Polignac number, because 100210221222111 - 2²⁷ = 100210087004383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210221222119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20092795 + ... + 24579276.

It is an arithmetic number, because the mean of its divisors is an integer number (1576030700160).

Almost surely, 2^{100210221222111} is an apocalyptic number.

100210221222111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100210221222111 is an abundant number, since it is smaller than the sum of its proper divisors (101521708398369).

100210221222111 is a wasteful number, since it uses less digits than its factorization.

100210221222111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44672194 (or 44672188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100210221222111 its reverse (111222122012001), we get a palindrome (211432343234112).

The spelling of 100210221222111 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred eleven".