201001252000 has 96 divisors (see below), whose sum is σ = 494030641104. Its totient is φ = 80372736000.

The previous prime is 201001251977. The next prime is 201001252019. The reversal of 201001252000 is 252100102.

201001252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6439099536 + 194562152464 = 80244^2 + 441092^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14685160 + ... + 14698840.

Almost surely, 2^201001252000 is an apocalyptic number.

201001252000 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 201001252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247015320552).

201001252000 is an abundant number, since it is smaller than the sum of its proper divisors (293029389104).

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

201001252000 is a wasteful number, since it uses less digits than its factorization.

201001252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17379 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 201001252000 its reverse (252100102), we get a palindrome (201253352102).

It can be divided in two parts, 20100125 and 2000, that multiplied together give a square (40200250000 = 200500²).

The spelling of 201001252000 in words is "two hundred one billion, one million, two hundred fifty-two thousand".