100223220100302 has 160 divisors (see below), whose sum is σ = 242102794533600. Its totient is φ = 30805596870912.

The previous prime is 100223220100183. The next prime is 100223220100313. The reversal of 100223220100302 is 203001022322001.

100223220100302 is a `hidden beast` number, since 10 + 0 + 2 + 232 + 20 + 100 + 302 = 666.

100223220100302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 9566017488 + ... + 9566027964.

It is an arithmetic number, because the mean of its divisors is an integer number (1513142465835).

Almost surely, 2^{100223220100302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100223220100302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121051397266800).

100223220100302 is an abundant number, since it is smaller than the sum of its proper divisors (141879574433298).

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

100223220100302 is a wasteful number, since it uses less digits than its factorization.

100223220100302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14832 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100223220100302 its reverse (203001022322001), we get a palindrome (303224242422303).

The spelling of 100223220100302 in words is "one hundred trillion, two hundred twenty-three billion, two hundred twenty million, one hundred thousand, three hundred two".