201101220012000 has 768 divisors, whose sum is σ = 849693744506880. Its totient is φ = 40346320896000.

The previous prime is 201101220011953. The next prime is 201101220012001. The reversal of 201101220012000 is 210022101102.

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 (201101220012001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23043552 + ... + 30548448.

It is an arithmetic number, because the mean of its divisors is an integer number (1106372063160).

Almost surely, 2^{201101220012000} is an apocalyptic number.

201101220012000 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 201101220012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424846872253440).

201101220012000 is an abundant number, since it is smaller than the sum of its proper divisors (648592524494880).

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

201101220012000 is a wasteful number, since it uses less digits than its factorization.

201101220012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504972 (or 7504954 counting only the distinct ones).

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

Adding to 201101220012000 its reverse (210022101102), we get a palindrome (201311242113102).

The spelling of 201101220012000 in words is "two hundred one trillion, one hundred one billion, two hundred twenty million, twelve thousand".