201021021312 has 128 divisors (see below), whose sum is σ = 549632304000. Its totient is φ = 65048739840.

The previous prime is 201021021301. The next prime is 201021021343. The reversal of 201021021312 is 213120120102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 201021021291 and 201021021300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6363637 + ... + 6395147.

It is an arithmetic number, because the mean of its divisors is an integer number (4294002375).

Almost surely, 2^201021021312 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 201021021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274816152000).

201021021312 is an abundant number, since it is smaller than the sum of its proper divisors (348611282688).

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

201021021312 is a wasteful number, since it uses less digits than its factorization.

201021021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32014 (or 32002 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201021021312 its reverse (213120120102), we get a palindrome (414141141414).

The spelling of 201021021312 in words is "two hundred one billion, twenty-one million, twenty-one thousand, three hundred twelve".