100222000002 has 192 divisors, whose sum is σ = 236148428160. Its totient is φ = 31891708800.

The previous prime is 100221999973. The next prime is 100222000019. The reversal of 100222000002 is 200000222001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474985677 + ... + 474985887.

It is an arithmetic number, because the mean of its divisors is an integer number (1229939730).

Almost surely, 2^100222000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118074214080).

100222000002 is an abundant number, since it is smaller than the sum of its proper divisors (135926428158).

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

100222000002 is an equidigital number, since it uses as much as digits as its factorization.

100222000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100222000002 its reverse (200000222001), we get a palindrome (300222222003).

The spelling of 100222000002 in words is "one hundred billion, two hundred twenty-two million, two", and thus it is an aban number.