100102120 has 32 divisors (see below), whose sum is σ = 238480200. Its totient is φ = 37685248.

The previous prime is 100102081. The next prime is 100102129. The reversal of 100102120 is 21201001.

It can be written as a sum of positive squares in 4 ways, for example, as 99720196 + 381924 = 9986^2 + 618^2 .

It is not an unprimeable number, because it can be changed into a prime (100102129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72925 + ... + 74284.

Almost surely, 2^100102120 is an apocalyptic number.

100102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102120 is an abundant number, since it is smaller than the sum of its proper divisors (138378080).

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

100102120 is a wasteful number, since it uses less digits than its factorization.

100102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147237 (or 147233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100102120 is about 10005.1046971034. The cubic root of 100102120 is about 464.3168292926.

Adding to 100102120 its reverse (21201001), we get a palindrome (121303121).

The spelling of 100102120 in words is "one hundred million, one hundred two thousand, one hundred twenty".