101201201220000 has 480 divisors, whose sum is σ = 379436506251264. Its totient is φ = 23128444800000.

The previous prime is 101201201219999. The next prime is 101201201220071. The reversal of 101201201220000 is 22102102101.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4246608085 + ... + 4246631915.

Almost surely, 2^{101201201220000} is an apocalyptic number.

101201201220000 is a gapful number since it is divisible by the number (10) 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 101201201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189718253125632).

101201201220000 is an abundant number, since it is smaller than the sum of its proper divisors (278235305031264).

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

101201201220000 is a wasteful number, since it uses less digits than its factorization.

101201201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33982 (or 33959 counting only the distinct ones).

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

Adding to 101201201220000 its reverse (22102102101), we get a palindrome (101223303322101).

The spelling of 101201201220000 in words is "one hundred one trillion, two hundred one billion, two hundred one million, two hundred twenty thousand".