211122122101000 has 64 divisors (see below), whose sum is σ = 538937198991360. Its totient is φ = 76771680760000.

The previous prime is 211122122100961. The next prime is 211122122101001. The reversal of 211122122101000 is 101221221112.

It is a super-4 number, since 4×211122122101000⁴ (a number of 58 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (211122122101001) 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, 9596449096 + ... + 9596471095.

It is an arithmetic number, because the mean of its divisors is an integer number (8420893734240).

Almost surely, 2^{211122122101000} is an apocalyptic number.

211122122101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122122101000 is an abundant number, since it is smaller than the sum of its proper divisors (327815076890360).

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

211122122101000 is a wasteful number, since it uses less digits than its factorization.

211122122101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19192920223 (or 19192920209 counting only the distinct ones).

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

Adding to 211122122101000 its reverse (101221221112), we get a palindrome (211223343322112).

The spelling of 211122122101000 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand".