201021211211112 has 128 divisors (see below), whose sum is σ = 559611475113600. Its totient is φ = 66860850760704.

The previous prime is 201021211211081. The next prime is 201021211211153. The reversal of 201021211211112 is 211112112120102.

It is a happy number.

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

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, 334424338 + ... + 335024894.

It is an arithmetic number, because the mean of its divisors is an integer number (4371964649325).

Almost surely, 2^{201021211211112} 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 201021211211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279805737556800).

201021211211112 is an abundant number, since it is smaller than the sum of its proper divisors (358590263902488).

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

201021211211112 is a wasteful number, since it uses less digits than its factorization.

201021211211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603952 (or 603942 counting only the distinct ones).

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

Adding to 201021211211112 its reverse (211112112120102), we get a palindrome (412133323331214).

The spelling of 201021211211112 in words is "two hundred one trillion, twenty-one billion, two hundred eleven million, two hundred eleven thousand, one hundred twelve".