101200220000 has 240 divisors, whose sum is σ = 276090235344. Its totient is φ = 36192000000.

The previous prime is 101200219999. The next prime is 101200220003. The reversal of 101200220000 is 22002101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101200220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200220003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13416230 + ... + 13423770.

Almost surely, 2^101200220000 is an apocalyptic number.

101200220000 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 101200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138045117672).

101200220000 is an abundant number, since it is smaller than the sum of its proper divisors (174890015344).

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

101200220000 is an equidigital number, since it uses as much as digits as its factorization.

101200220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 101200220000 its reverse (22002101), we get a palindrome (101222222101).

The spelling of 101200220000 in words is "one hundred one billion, two hundred million, two hundred twenty thousand".