201211112021000 has 128 divisors (see below), whose sum is σ = 471810602165760. Its totient is φ = 80317623232000.

The previous prime is 201211112020967. The next prime is 201211112021039. The reversal of 201211112021000 is 120211112102.

201211112021000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1383858305 + ... + 1384003695.

It is an arithmetic number, because the mean of its divisors is an integer number (3686020329420).

Almost surely, 2^{201211112021000} is an apocalyptic number.

201211112021000 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 201211112021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235905301082880).

201211112021000 is an abundant number, since it is smaller than the sum of its proper divisors (270599490144760).

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

201211112021000 is a wasteful number, since it uses less digits than its factorization.

201211112021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148272 (or 148258 counting only the distinct ones).

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

Adding to 201211112021000 its reverse (120211112102), we get a palindrome (201331323133102).

It can be divided in two parts, 201211 and 112021000, that added together give a palindrome (112222211).

The spelling of 201211112021000 in words is "two hundred one trillion, two hundred eleven billion, one hundred twelve million, twenty-one thousand".