201101101001200 has 240 divisors, whose sum is σ = 490292713008000. Its totient is φ = 79260086707200.

The previous prime is 201101101001161. The next prime is 201101101001233. The reversal of 201101101001200 is 2100101101102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 10695150999 + ... + 10695169801.

It is an arithmetic number, because the mean of its divisors is an integer number (2042886304200).

Almost surely, 2^{201101101001200} is an apocalyptic number.

201101101001200 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 201101101001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245146356504000).

201101101001200 is an abundant number, since it is smaller than the sum of its proper divisors (289191612006800).

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

201101101001200 is a wasteful number, since it uses less digits than its factorization.

201101101001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20400 (or 20389 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201101101001200 its reverse (2100101101102), we get a palindrome (203201202102302).

The spelling of 201101101001200 in words is "two hundred one trillion, one hundred one billion, one hundred one million, one thousand, two hundred".