211122213101000 has 64 divisors (see below), whose sum is σ = 509962300623360. Its totient is φ = 81724727640000.

The previous prime is 211122213100999. The next prime is 211122213101003. The reversal of 211122213101000 is 101312221112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211122213101000.

It is not an unprimeable number, because it can be changed into a prime (211122213101003) by changing a digit.

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, 3405165986 + ... + 3405227985.

It is an arithmetic number, because the mean of its divisors is an integer number (7968160947240).

Almost surely, 2^{211122213101000} is an apocalyptic number.

211122213101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122213101000 is an abundant number, since it is smaller than the sum of its proper divisors (298840087522360).

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

211122213101000 is a wasteful number, since it uses less digits than its factorization.

211122213101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810394023 (or 6810394009 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211122213101000 its reverse (101312221112), we get a palindrome (211223525322112).

The spelling of 211122213101000 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred thirteen million, one hundred one thousand".