100212212200111 has 16 divisors (see below), whose sum is σ = 110333761195680. Its totient is φ = 90259348308480.

The previous prime is 100212212200109. The next prime is 100212212200189. The reversal of 100212212200111 is 111002212212001.

It is a cyclic number.

It is not a de Polignac number, because 100212212200111 - 2¹ = 100212212200109 is a prime.

It is a super-2 number, since 2×100212212200111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212212201111) 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, 12627795 + ... + 18970651.

It is an arithmetic number, because the mean of its divisors is an integer number (6895860074730).

Almost surely, 2^{100212212200111} is an apocalyptic number.

100212212200111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212212200111 is a deficient number, since it is larger than the sum of its proper divisors (10121548995569).

100212212200111 is a wasteful number, since it uses less digits than its factorization.

100212212200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356154.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212212200111 its reverse (111002212212001), we get a palindrome (211214424412112).

The spelling of 100212212200111 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, two hundred thousand, one hundred eleven".