201002333223120 has 480 divisors, whose sum is σ = 743352204806784. Its totient is φ = 44534191104000.

The previous prime is 201002333223061. The next prime is 201002333223137. The reversal of 201002333223120 is 21322333200102.

201002333223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201002333223120² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42831882 + ... + 47292438.

Almost surely, 2^{201002333223120} is an apocalyptic number.

201002333223120 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 201002333223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371676102403392).

201002333223120 is an abundant number, since it is smaller than the sum of its proper divisors (542349871583664).

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

201002333223120 is a wasteful number, since it uses less digits than its factorization.

201002333223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460711 (or 4460692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 201002333223120 its reverse (21322333200102), we get a palindrome (222324666423222).

The spelling of 201002333223120 in words is "two hundred one trillion, two billion, three hundred thirty-three million, two hundred twenty-three thousand, one hundred twenty".