120010100 has 72 divisors (see below), whose sum is σ = 299647488. Its totient is φ = 40867200.

The previous prime is 120010087. The next prime is 120010109. The reversal of 120010100 is 1010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120605 + ... + 121595.

Almost surely, 2^120010100 is an apocalyptic number.

120010100 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 120010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149823744).

120010100 is an abundant number, since it is smaller than the sum of its proper divisors (179637388).

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

120010100 is a wasteful number, since it uses less digits than its factorization.

120010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 120010100 is about 10954.9121402228. The cubic root of 120010100 is about 493.2562526678.

Adding to 120010100 its reverse (1010021), we get a palindrome (121020121).

The spelling of 120010100 in words is "one hundred twenty million, ten thousand, one hundred".