201000201011100 has 540 divisors, whose sum is σ = 671581742970600. Its totient is φ = 51999966489600.

The previous prime is 201000201011087. The next prime is 201000201011117. The reversal of 201000201011100 is 1110102000102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2437240666 + ... + 2437323134.

It is an arithmetic number, because the mean of its divisors is an integer number (1243669894390).

Almost surely, 2^{201000201011100} is an apocalyptic number.

201000201011100 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 201000201011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335790871485300).

201000201011100 is an abundant number, since it is smaller than the sum of its proper divisors (470581541959500).

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

201000201011100 is a wasteful number, since it uses less digits than its factorization.

201000201011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82756 (or 82699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201000201011100 its reverse (1110102000102), we get a palindrome (202110303011202).

The spelling of 201000201011100 in words is "two hundred one trillion, two hundred one million, eleven thousand, one hundred".