212201100111000 has 1024 divisors, whose sum is σ = 889174490480640. Its totient is φ = 40690702080000.

The previous prime is 212201100110999. The next prime is 212201100111023. The reversal of 212201100111000 is 111001102212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14507485687 + ... + 14507500313.

It is an arithmetic number, because the mean of its divisors is an integer number (868334463360).

Almost surely, 2^{212201100111000} is an apocalyptic number.

212201100111000 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 212201100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444587245240320).

212201100111000 is an abundant number, since it is smaller than the sum of its proper divisors (676973390369640).

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

212201100111000 is a wasteful number, since it uses less digits than its factorization.

212201100111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19513 (or 19499 counting only the distinct ones).

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

Adding to 212201100111000 its reverse (111001102212), we get a palindrome (212312101213212).

The spelling of 212201100111000 in words is "two hundred twelve trillion, two hundred one billion, one hundred million, one hundred eleven thousand".