201000322000 has 40 divisors (see below), whose sum is σ = 486018783432. Its totient is φ = 80400128000.

The previous prime is 201000321983. The next prime is 201000322031. The reversal of 201000322000 is 223000102.

201000322000 is digitally balanced in base 3, 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 4 ways, for example, as 19227704896 + 181772617104 = 138664^2 + 426348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×201000322000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50248081 + ... + 50252080.

Almost surely, 2^201000322000 is an apocalyptic number.

201000322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000322000 is an abundant number, since it is smaller than the sum of its proper divisors (285018461432).

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

201000322000 is a wasteful number, since it uses less digits than its factorization.

201000322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100500184 (or 100500168 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 201000322000 its reverse (223000102), we get a palindrome (201223322102).

The spelling of 201000322000 in words is "two hundred one billion, three hundred twenty-two thousand".