211121100110020 has 24 divisors (see below), whose sum is σ = 443422215898200. Its totient is φ = 84435505631232.

The previous prime is 211121100110017. The next prime is 211121100110023. The reversal of 211121100110020 is 20011001121112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211121100110017) and next prime (211121100110023).

It can be written as a sum of positive squares in 4 ways, for example, as 33772858119364 + 177348241990656 = 5811442^2 + 13317216^2 .

It is a super-2 number, since 2×211121100110020² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211121100110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808266955 + ... + 808528114.

It is an arithmetic number, because the mean of its divisors is an integer number (18475925662425).

Almost surely, 2^{211121100110020} is an apocalyptic number.

211121100110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121100110020 is an abundant number, since it is smaller than the sum of its proper divisors (232301115788180).

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

211121100110020 is a wasteful number, since it uses less digits than its factorization.

211121100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616801607 (or 1616801605 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211121100110020 its reverse (20011001121112), we get a palindrome (231132101231132).

The spelling of 211121100110020 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred million, one hundred ten thousand, twenty".