100212102111 has 24 divisors (see below), whose sum is σ = 146888315392. Its totient is φ = 60725926800.

The previous prime is 100212102101. The next prime is 100212102161. The reversal of 100212102111 is 111201212001.

It is not a de Polignac number, because 100212102111 - 2²³ = 100203713503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212102101) 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 23 ways as a sum of consecutive naturals, for example, 3284850 + ... + 3315216.

Almost surely, 2^100212102111 is an apocalyptic number.

100212102111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212102111 is a deficient number, since it is larger than the sum of its proper divisors (46676213281).

100212102111 is a wasteful number, since it uses less digits than its factorization.

100212102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39483 (or 39472 counting only the distinct ones).

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

Adding to 100212102111 its reverse (111201212001), we get a palindrome (211413314112).

The spelling of 100212102111 in words is "one hundred billion, two hundred twelve million, one hundred two thousand, one hundred eleven".