11211011020 has 96 divisors (see below), whose sum is σ = 25951705920. Its totient is φ = 4034396160.

The previous prime is 11211011017. The next prime is 11211011033. The reversal of 11211011020 is 2011011211.

It is a super-2 number, since 2×11211011020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11211010988 and 11211011006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9722764 + ... + 9723916.

It is an arithmetic number, because the mean of its divisors is an integer number (270330270).

Almost surely, 2^11211011020 is an apocalyptic number.

11211011020 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 11211011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12975852960).

11211011020 is an abundant number, since it is smaller than the sum of its proper divisors (14740694900).

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

11211011020 is a wasteful number, since it uses less digits than its factorization.

11211011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11211011020 its reverse (2011011211), we get a palindrome (13222022231).

The spelling of 11211011020 in words is "eleven billion, two hundred eleven million, eleven thousand, twenty".