201024332002032 has 160 divisors (see below), whose sum is σ = 647544764958720. Its totient is φ = 52206872405760.

The previous prime is 201024332001971. The next prime is 201024332002061. The reversal of 201024332002032 is 230200233420102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201024332001993 and 201024332002011.

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, 22914303 + ... + 30448545.

It is an arithmetic number, because the mean of its divisors is an integer number (4047154780992).

Almost surely, 2^{201024332002032} is an apocalyptic number.

201024332002032 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 201024332002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323772382479360).

201024332002032 is an abundant number, since it is smaller than the sum of its proper divisors (446520432956688).

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

201024332002032 is a wasteful number, since it uses less digits than its factorization.

201024332002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541491 (or 7541485 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201024332002032 its reverse (230200233420102), we get a palindrome (431224565422134).

The spelling of 201024332002032 in words is "two hundred one trillion, twenty-four billion, three hundred thirty-two million, two thousand, thirty-two".