211122202111020 has 432 divisors, whose sum is σ = 691670729655360. Its totient is φ = 52082121636864.

The previous prime is 211122202110961. The next prime is 211122202111063. The reversal of 211122202111020 is 20111202221112.

211122202111020 is a `hidden beast` number, since 21 + 112 + 220 + 211 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211122202110984 and 211122202111002.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 588184966 + ... + 588543794.

It is an arithmetic number, because the mean of its divisors is an integer number (1601089651980).

Almost surely, 2^{211122202111020} is an apocalyptic number.

211122202111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122202111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345835364827680).

211122202111020 is an abundant number, since it is smaller than the sum of its proper divisors (480548527544340).

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

211122202111020 is a wasteful number, since it uses less digits than its factorization.

211122202111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359094 (or 359066 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122202111020 its reverse (20111202221112), we get a palindrome (231233404332132).

The spelling of 211122202111020 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred two million, one hundred eleven thousand, twenty".