211112121020 has 96 divisors (see below), whose sum is σ = 489356453376. Its totient is φ = 76151808000.

The previous prime is 211112121007. The next prime is 211112121041. The reversal of 211112121020 is 20121211112.

It is a junction number, because it is equal to n+sod(n) for n = 211112120986 and 211112121004.

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, 965384 + ... + 1163696.

It is an arithmetic number, because the mean of its divisors is an integer number (5097463056).

Almost surely, 2^211112121020 is an apocalyptic number.

211112121020 is a gapful number since it is divisible by the number (20) 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 211112121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244678226688).

211112121020 is an abundant number, since it is smaller than the sum of its proper divisors (278244332356).

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

211112121020 is a wasteful number, since it uses less digits than its factorization.

211112121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198471 (or 198469 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211112121020 its reverse (20121211112), we get a palindrome (231233332132).

The spelling of 211112121020 in words is "two hundred eleven billion, one hundred twelve million, one hundred twenty-one thousand, twenty".