201034411300 has 144 divisors (see below), whose sum is σ = 454947881472. Its totient is φ = 77045363200.

The previous prime is 201034411297. The next prime is 201034411301. The reversal of 201034411300 is 3114430102.

It is not an unprimeable number, because it can be changed into a prime (201034411301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204510609 + ... + 204511591.

It is an arithmetic number, because the mean of its divisors is an integer number (3159360288).

Almost surely, 2^201034411300 is an apocalyptic number.

201034411300 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 201034411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227473940736).

201034411300 is an abundant number, since it is smaller than the sum of its proper divisors (253913470172).

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

201034411300 is a wasteful number, since it uses less digits than its factorization.

201034411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 201034411300 its reverse (3114430102), we get a palindrome (204148841402).

The spelling of 201034411300 in words is "two hundred one billion, thirty-four million, four hundred eleven thousand, three hundred".