212111110000100 has 72 divisors (see below), whose sum is σ = 476242357704960. Its totient is φ = 81903377969280.

The previous prime is 212111110000007. The next prime is 212111110000121. The reversal of 212111110000100 is 1000011111212.

It is a super-2 number, since 2×212111110000100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8566349 + ... + 22307051.

Almost surely, 2^{212111110000100} is an apocalyptic number.

212111110000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238121178852480).

212111110000100 is an abundant number, since it is smaller than the sum of its proper divisors (264131247704860).

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

212111110000100 is a wasteful number, since it uses less digits than its factorization.

212111110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13746069 (or 13746062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 212111110000100 its reverse (1000011111212), we get a palindrome (213111121111312).

The spelling of 212111110000100 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred ten million, one hundred", and thus it is an aban number.