201075129112 has 128 divisors (see below), whose sum is σ = 456540779520. Its totient is φ = 81813312000.

The previous prime is 201075129077. The next prime is 201075129119. The reversal of 201075129112 is 211921570102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201075129119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4934373 + ... + 4974955.

It is an arithmetic number, because the mean of its divisors is an integer number (3566724840).

Almost surely, 2^201075129112 is an apocalyptic number.

201075129112 is a gapful number since it is divisible by the number (22) 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 201075129112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228270389760).

201075129112 is an abundant number, since it is smaller than the sum of its proper divisors (255465650408).

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

201075129112 is a wasteful number, since it uses less digits than its factorization.

201075129112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40745 (or 40741 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

Adding to 201075129112 its reverse (211921570102), we get a palindrome (412996699214).

The spelling of 201075129112 in words is "two hundred one billion, seventy-five million, one hundred twenty-nine thousand, one hundred twelve".