201100310312000 has 448 divisors, whose sum is σ = 545657399838720. Its totient is φ = 72810617600000.

The previous prime is 201100310311969. The next prime is 201100310312021. The reversal of 201100310312000 is 213013001102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27887988395 + ... + 27887995605.

Almost surely, 2^{201100310312000} is an apocalyptic number.

201100310312000 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 201100310312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272828699919360).

201100310312000 is an abundant number, since it is smaller than the sum of its proper divisors (344557089526720).

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

201100310312000 is a wasteful number, since it uses less digits than its factorization.

201100310312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8579 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 201100310312000 its reverse (213013001102), we get a palindrome (201313323313102).

The spelling of 201100310312000 in words is "two hundred one trillion, one hundred billion, three hundred ten million, three hundred twelve thousand".