100002202000 has 160 divisors (see below), whose sum is σ = 247486168800. Its totient is φ = 39068057600.

The previous prime is 100002201961. The next prime is 100002202009. The reversal of 100002202000 is 202200001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 85282689024 + 14719512976 = 292032^2 + 121324^2 .

It is not an unprimeable number, because it can be changed into a prime (100002202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24695976 + ... + 24700024.

It is an arithmetic number, because the mean of its divisors is an integer number (1546788555).

Almost surely, 2^100002202000 is an apocalyptic number.

100002202000 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 100002202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123743084400).

100002202000 is an abundant number, since it is smaller than the sum of its proper divisors (147483966800).

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

100002202000 is a wasteful number, since it uses less digits than its factorization.

100002202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 100002202000 its reverse (202200001), we get a palindrome (100204402001).

The spelling of 100002202000 in words is "one hundred billion, two million, two hundred two thousand".