201002111120 has 160 divisors (see below), whose sum is σ = 509404896000. Its totient is φ = 73468200960.

The previous prime is 201002111087. The next prime is 201002111147. The reversal of 201002111120 is 21111200102.

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, 62988725 + ... + 62991915.

It is an arithmetic number, because the mean of its divisors is an integer number (3183780600).

Almost surely, 2^201002111120 is an apocalyptic number.

201002111120 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 201002111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254702448000).

201002111120 is an abundant number, since it is smaller than the sum of its proper divisors (308402784880).

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

201002111120 is a wasteful number, since it uses less digits than its factorization.

201002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201002111120 its reverse (21111200102), we get a palindrome (222113311222).

The spelling of 201002111120 in words is "two hundred one billion, two million, one hundred eleven thousand, one hundred twenty".