1000211120220 has 96 divisors (see below), whose sum is σ = 3017800396800. Its totient is φ = 246060576000.

The previous prime is 1000211120219. The next prime is 1000211120269. The reversal of 1000211120220 is 220211120001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000211120196 and 1000211120205.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 947845 + ... + 1702595.

It is an arithmetic number, because the mean of its divisors is an integer number (31435420800).

Almost surely, 2^{1000211120220} is an apocalyptic number.

1000211120220 is a gapful number since it is divisible by the number (10) 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 1000211120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508900198400).

1000211120220 is an abundant number, since it is smaller than the sum of its proper divisors (2017589276580).

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

1000211120220 is a wasteful number, since it uses less digits than its factorization.

1000211120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756475 (or 756473 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000211120220 its reverse (220211120001), we get a palindrome (1220422240221).

The spelling of 1000211120220 in words is "one trillion, two hundred eleven million, one hundred twenty thousand, two hundred twenty".