100002000120 has 192 divisors, whose sum is σ = 336369801600. Its totient is φ = 23587269120.

The previous prime is 100002000053. The next prime is 100002000143. The reversal of 100002000120 is 21000200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100002000099 and 100002000108.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1779411 + ... + 1834749.

It is an arithmetic number, because the mean of its divisors is an integer number (1751926050).

Almost surely, 2^100002000120 is an apocalyptic number.

100002000120 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 100002000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168184900800).

100002000120 is an abundant number, since it is smaller than the sum of its proper divisors (236367801480).

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

100002000120 is a wasteful number, since it uses less digits than its factorization.

100002000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55438 (or 55397 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100002000120 its reverse (21000200001), we get a palindrome (121002200121).

The spelling of 100002000120 in words is "one hundred billion, two million, one hundred twenty", and thus it is an aban number.