201100810800 has 240 divisors, whose sum is σ = 678634520960. Its totient is φ = 50764216320.

The previous prime is 201100810789. The next prime is 201100810811. The reversal of 201100810800 is 8018001102.

It is an interprime number because it is at equal distance from previous prime (201100810789) and next prime (201100810811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×201100810800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37776939 + ... + 37782261.

Almost surely, 2^201100810800 is an apocalyptic number.

201100810800 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 201100810800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339317260480).

201100810800 is an abundant number, since it is smaller than the sum of its proper divisors (477533710160).

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

201100810800 is a wasteful number, since it uses less digits than its factorization.

201100810800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 201100810800 its reverse (8018001102), we get a palindrome (209118811902).

The spelling of 201100810800 in words is "two hundred one billion, one hundred million, eight hundred ten thousand, eight hundred".