201101222001120 has 384 divisors, whose sum is σ = 729266073984000. Its totient is φ = 45629754458112.

The previous prime is 201101222001103. The next prime is 201101222001131. The reversal of 201101222001120 is 21100222101102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201101222001120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829439271 + ... + 829681689.

It is an arithmetic number, because the mean of its divisors is an integer number (1899130401000).

Almost surely, 2^{201101222001120} is an apocalyptic number.

201101222001120 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 201101222001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364633036992000).

201101222001120 is an abundant number, since it is smaller than the sum of its proper divisors (528164851982880).

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

201101222001120 is a wasteful number, since it uses less digits than its factorization.

201101222001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244250 (or 244242 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201101222001120 its reverse (21100222101102), we get a palindrome (222201444102222).

The spelling of 201101222001120 in words is "two hundred one trillion, one hundred one billion, two hundred twenty-two million, one thousand, one hundred twenty".