201102000211200 has 432 divisors, whose sum is σ = 724385488361472. Its totient is φ = 48726912000000.

The previous prime is 201102000211169. The next prime is 201102000211201. The reversal of 201102000211200 is 2112000201102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102000211201) 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, 411807175 + ... + 412295225.

It is an arithmetic number, because the mean of its divisors is an integer number (1676818260096).

Almost surely, 2^{201102000211200} is an apocalyptic number.

201102000211200 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 201102000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362192744180736).

201102000211200 is an abundant number, since it is smaller than the sum of its proper divisors (523283488150272).

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

201102000211200 is a wasteful number, since it uses less digits than its factorization.

201102000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490042 (or 490023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201102000211200 its reverse (2112000201102), we get a palindrome (203214000412302).

The spelling of 201102000211200 in words is "two hundred one trillion, one hundred two billion, two hundred eleven thousand, two hundred".