201024074112 has 256 divisors, whose sum is σ = 585381427200. Its totient is φ = 60847718400.

The previous prime is 201024074101. The next prime is 201024074203. The reversal of 201024074112 is 211470420102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 76696162 + ... + 76698782.

It is an arithmetic number, because the mean of its divisors is an integer number (2286646200).

Almost surely, 2^201024074112 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 201024074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292690713600).

201024074112 is an abundant number, since it is smaller than the sum of its proper divisors (384357353088).

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

201024074112 is a wasteful number, since it uses less digits than its factorization.

201024074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 201024074112 its reverse (211470420102), we get a palindrome (412494494214).

The spelling of 201024074112 in words is "two hundred one billion, twenty-four million, seventy-four thousand, one hundred twelve".