212111012221000 has 64 divisors (see below), whose sum is σ = 496349440170480. Its totient is φ = 84842751628800.

The previous prime is 212111012220967. The next prime is 212111012221021. The reversal of 212111012221000 is 122210111212.

It can be written as a sum of positive squares in 8 ways, for example, as 12917137897764 + 199193874323236 = 3594042^2 + 14113606^2 .

It is a super-2 number, since 2×212111012221000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49932412 + ... + 54013588.

Almost surely, 2^{212111012221000} is an apocalyptic number.

212111012221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111012221000 is an abundant number, since it is smaller than the sum of its proper divisors (284238427949480).

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

212111012221000 is a wasteful number, since it uses less digits than its factorization.

212111012221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133171 (or 4133157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212111012221000 its reverse (122210111212), we get a palindrome (212233222332212).

The spelling of 212111012221000 in words is "two hundred twelve trillion, one hundred eleven billion, twelve million, two hundred twenty-one thousand".