212211333101000 has 64 divisors (see below), whose sum is σ = 505943850138480. Its totient is φ = 83282938252800.

The previous prime is 212211333100999. The next prime is 212211333101021. The reversal of 212211333101000 is 101333112212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 46963033349764 + 165248299751236 = 6852958^2 + 12854894^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 2001940709 + ... + 2002046708.

Almost surely, 2^{212211333101000} is an apocalyptic number.

212211333101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211333101000 is an abundant number, since it is smaller than the sum of its proper divisors (293732517037480).

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

212211333101000 is a wasteful number, since it uses less digits than its factorization.

212211333101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003987491 (or 4003987477 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212211333101000 its reverse (101333112212), we get a palindrome (212312666213212).

The spelling of 212211333101000 in words is "two hundred twelve trillion, two hundred eleven billion, three hundred thirty-three million, one hundred one thousand".