100222071720 has 128 divisors (see below), whose sum is σ = 320304499200. Its totient is φ = 25014161664.

The previous prime is 100222071713. The next prime is 100222071721. The reversal of 100222071720 is 27170222001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100222071721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75562 + ... + 454041.

It is an arithmetic number, because the mean of its divisors is an integer number (2502378900).

Almost surely, 2^100222071720 is an apocalyptic number.

100222071720 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 100222071720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160152249600).

100222071720 is an abundant number, since it is smaller than the sum of its proper divisors (220082427480).

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

100222071720 is a wasteful number, since it uses less digits than its factorization.

100222071720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529719 (or 529715 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 100222071720 its reverse (27170222001), we get a palindrome (127392293721).

The spelling of 100222071720 in words is "one hundred billion, two hundred twenty-two million, seventy-one thousand, seven hundred twenty".