21200111100212 has 96 divisors (see below), whose sum is σ = 43345926005760. Its totient is φ = 8965442027520.

The previous prime is 21200111100097. The next prime is 21200111100221.

21200111100212 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21200111100212³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284424893 + ... + 284499419.

It is an arithmetic number, because the mean of its divisors is an integer number (451520062560).

Almost surely, 2^{21200111100212} is an apocalyptic number.

21200111100212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21200111100212 is an abundant number, since it is smaller than the sum of its proper divisors (22145814905548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21200111100212 is a wasteful number, since it uses less digits than its factorization.

21200111100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78921 (or 78919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 2120011 and 1100212, that added together give a palindrome (3220223).

The spelling of 21200111100212 in words is "twenty-one trillion, two hundred billion, one hundred eleven million, one hundred thousand, two hundred twelve".