201021121112 has 64 divisors (see below), whose sum is σ = 450412600320. Its totient is φ = 82236705408.

The previous prime is 201021121111. The next prime is 201021121141. The reversal of 201021121112 is 211121120102.

It is a super-2 number, since 2×201021121112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021121111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467018 + ... + 787494.

It is an arithmetic number, because the mean of its divisors is an integer number (7037696880).

Almost surely, 2^201021121112 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 201021121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225206300160).

201021121112 is an abundant number, since it is smaller than the sum of its proper divisors (249391479208).

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

201021121112 is a wasteful number, since it uses less digits than its factorization.

201021121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321000 (or 320996 counting only the distinct ones).

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

Adding to 201021121112 its reverse (211121120102), we get a palindrome (412142241214).

The spelling of 201021121112 in words is "two hundred one billion, twenty-one million, one hundred twenty-one thousand, one hundred twelve".