11212101020 has 96 divisors (see below), whose sum is σ = 25086566400. Its totient is φ = 4197360384.

The previous prime is 11212101013. The next prime is 11212101053. The reversal of 11212101020 is 2010121211.

It is a super-3 number, since 3×11212101020³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11212100992 and 11212101010.

It is a congruent number.

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, 18290234 + ... + 18290846.

It is an arithmetic number, because the mean of its divisors is an integer number (261318400).

Almost surely, 2^11212101020 is an apocalyptic number.

11212101020 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 11212101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12543283200).

11212101020 is an abundant number, since it is smaller than the sum of its proper divisors (13874465380).

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

11212101020 is a wasteful number, since it uses less digits than its factorization.

11212101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11212101020 its reverse (2010121211), we get a palindrome (13222222231).

The spelling of 11212101020 in words is "eleven billion, two hundred twelve million, one hundred one thousand, twenty".