201113321101000 has 512 divisors, whose sum is σ = 595815577943040. Its totient is φ = 61720704000000.

The previous prime is 201113321100869. The next prime is 201113321101009. The reversal of 201113321101000 is 101123311102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201113321101009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1407565564 + ... + 1407708436.

It is an arithmetic number, because the mean of its divisors is an integer number (1163702300670).

Almost surely, 2^{201113321101000} is an apocalyptic number.

201113321101000 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 201113321101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297907788971520).

201113321101000 is an abundant number, since it is smaller than the sum of its proper divisors (394702256842040).

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

201113321101000 is a wasteful number, since it uses less digits than its factorization.

201113321101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143194 (or 143180 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 201113321101000 its reverse (101123311102), we get a palindrome (201214444412102).

The spelling of 201113321101000 in words is "two hundred one trillion, one hundred thirteen billion, three hundred twenty-one million, one hundred one thousand".