211022011101000 has 128 divisors (see below), whose sum is σ = 718242190623360. Its totient is φ = 51156851168000.

The previous prime is 211022011100977. The next prime is 211022011101001. The reversal of 211022011101000 is 101110220112.

It is a super-2 number, since 2×211022011101000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211022011101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3197270199 + ... + 3197336198.

It is an arithmetic number, because the mean of its divisors is an integer number (5611267114245).

Almost surely, 2^{211022011101000} is an apocalyptic number.

211022011101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022011101000 is an abundant number, since it is smaller than the sum of its proper divisors (507220179522360).

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

211022011101000 is a wasteful number, since it uses less digits than its factorization.

211022011101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394606432 (or 6394606418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211022011101000 its reverse (101110220112), we get a palindrome (211123121321112).

The spelling of 211022011101000 in words is "two hundred eleven trillion, twenty-two billion, eleven million, one hundred one thousand".