201102221100000 has 1152 divisors, whose sum is σ = 729962944381440. Its totient is φ = 48068480000000.

The previous prime is 201102221099981. The next prime is 201102221100007. The reversal of 201102221100000 is 1122201102.

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 (201102221100007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89657698879 + ... + 89657701121.

It is an arithmetic number, because the mean of its divisors is an integer number (633648389220).

Almost surely, 2^{201102221100000} is an apocalyptic number.

201102221100000 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 201102221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364981472190720).

201102221100000 is an abundant number, since it is smaller than the sum of its proper divisors (528860723281440).

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

201102221100000 is a wasteful number, since it uses less digits than its factorization.

201102221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2634 counting only the distinct ones).

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

Adding to 201102221100000 its reverse (1122201102), we get a palindrome (201103343301102).

The spelling of 201102221100000 in words is "two hundred one trillion, one hundred two billion, two hundred twenty-one million, one hundred thousand".