212121220010000 has 600 divisors, whose sum is σ = 609118127855424. Its totient is φ = 71304455040000.

The previous prime is 212121220009969. The next prime is 212121220010017. The reversal of 212121220010000 is 10022121212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62925308315 + ... + 62925311685.

Almost surely, 2^{212121220010000} is an apocalyptic number.

212121220010000 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 212121220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304559063927712).

212121220010000 is an abundant number, since it is smaller than the sum of its proper divisors (396996907845424).

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

212121220010000 is a wasteful number, since it uses less digits than its factorization.

212121220010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212121220010000 its reverse (10022121212), we get a palindrome (212131242131212).

The spelling of 212121220010000 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twenty million, ten thousand".