201002204032 has 128 divisors (see below), whose sum is σ = 469082234880. Its totient is φ = 84015360000.

The previous prime is 201002204017. The next prime is 201002204041. The reversal of 201002204032 is 230402200102.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201002203997 and 201002204015.

It is a congruent number.

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, 6046657 + ... + 6079807.

It is an arithmetic number, because the mean of its divisors is an integer number (3664704960).

Almost surely, 2^201002204032 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 201002204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234541117440).

201002204032 is an abundant number, since it is smaller than the sum of its proper divisors (268080030848).

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

201002204032 is a wasteful number, since it uses less digits than its factorization.

201002204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33340 (or 33328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201002204032 its reverse (230402200102), we get a palindrome (431404404134).

The spelling of 201002204032 in words is "two hundred one billion, two million, two hundred four thousand, thirty-two".