211220102010020 has 24 divisors (see below), whose sum is σ = 444217402158264. Its totient is φ = 84363243101696.

The previous prime is 211220102010019. The next prime is 211220102010023. The reversal of 211220102010020 is 20010201022112.

It can be written as a sum of positive squares in 4 ways, for example, as 99707853685924 + 111512248324096 = 9985382^2 + 10559936^2 .

It is a super-2 number, since 2×211220102010020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220102009977 and 211220102010004.

It is not an unprimeable number, because it can be changed into a prime (211220102010023) 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 7 ways as a sum of consecutive naturals, for example, 7799842517 + ... + 7799869596.

It is an arithmetic number, because the mean of its divisors is an integer number (18509058423261).

Almost surely, 2^{211220102010020} is an apocalyptic number.

211220102010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220102010020 is an abundant number, since it is smaller than the sum of its proper divisors (232997300148244).

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

211220102010020 is a wasteful number, since it uses less digits than its factorization.

211220102010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15599712799 (or 15599712797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211220102010020 its reverse (20010201022112), we get a palindrome (231230303032132).

The spelling of 211220102010020 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, ten thousand, twenty".