100002120192 has 240 divisors, whose sum is σ = 314322928920. Its totient is φ = 30422532096.

The previous prime is 100002120173. The next prime is 100002120193. The reversal of 100002120192 is 291021200001.

It can be written as a sum of positive squares in 4 ways, for example, as 58131138816 + 41870981376 = 241104^2 + 204624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100002120193) 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 23 ways as a sum of consecutive naturals, for example, 5322078 + ... + 5340834.

Almost surely, 2^100002120192 is an apocalyptic number.

100002120192 is a gapful number since it is divisible by the number (12) 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 100002120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157161464460).

100002120192 is an abundant number, since it is smaller than the sum of its proper divisors (214320808728).

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

100002120192 is a wasteful number, since it uses less digits than its factorization.

100002120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18864 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100002120192 its reverse (291021200001), we get a palindrome (391023320193).

The spelling of 100002120192 in words is "one hundred billion, two million, one hundred twenty thousand, one hundred ninety-two".