211121020121112 has 192 divisors, whose sum is σ = 612064922844960. Its totient is φ = 65508536832000.

The previous prime is 211121020121041. The next prime is 211121020121113.

It is a happy number.

211121020121112 is a `hidden beast` number, since 21 + 11 + 210 + 201 + 211 + 12 = 666.

211121020121112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121020121113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115422763 + ... + 117237605.

Almost surely, 2^{211121020121112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121020121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306032461422480).

211121020121112 is an abundant number, since it is smaller than the sum of its proper divisors (400943902723848).

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

211121020121112 is a wasteful number, since it uses less digits than its factorization.

211121020121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815914 (or 1815907 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 211121020121112 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, one hundred twelve".