100002120 has 128 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 25574400.

The previous prime is 100002113. The next prime is 100002127. The reversal of 100002120 is 21200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100002113) and next prime (100002127).

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 = 100002099 and 100002108.

It is not an unprimeable number, because it can be changed into a prime (100002127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448329 + ... + 448551.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^100002120 is an apocalyptic number.

100002120 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 100002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

100002120 is an abundant number, since it is smaller than the sum of its proper divisors (212558520).

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

100002120 is a wasteful number, since it uses less digits than its factorization.

100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

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

The square root of 100002120 is about 10000.1059994382. The cubic root of 100002120 is about 464.1621633942.

Adding to 100002120 its reverse (21200001), we get a palindrome (121202121).

The spelling of 100002120 in words is "one hundred million, two thousand, one hundred twenty".