201123010000 has 200 divisors, whose sum is σ = 532182572064. Its totient is φ = 73001280000.

The previous prime is 201123009979. The next prime is 201123010007. The reversal of 201123010000 is 10321102.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201123010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75128662 + ... + 75131338.

Almost surely, 2^201123010000 is an apocalyptic number.

201123010000 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 201123010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266091286032).

201123010000 is an abundant number, since it is smaller than the sum of its proper divisors (331059562064).

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

201123010000 is a wasteful number, since it uses less digits than its factorization.

201123010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 201123010000 its reverse (10321102), we get a palindrome (201133331102).

The spelling of 201123010000 in words is "two hundred one billion, one hundred twenty-three million, ten thousand".