100120035 has 32 divisors (see below), whose sum is σ = 172938240. Its totient is φ = 49309568.

The previous prime is 100120003. The next prime is 100120037. The reversal of 100120035 is 530021001.

It is a Cunningham number, because it is equal to 10006²-1.

It is a cyclic number.

It is not a de Polignac number, because 100120035 - 2⁵ = 100120003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100120035.

It is not an unprimeable number, because it can be changed into a prime (100120037) 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 31 ways as a sum of consecutive naturals, for example, 5002 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (5404320).

Almost surely, 2^100120035 is an apocalyptic number.

100120035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100120035 is a deficient number, since it is larger than the sum of its proper divisors (72818205).

100120035 is a wasteful number, since it uses less digits than its factorization.

100120035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100120035 is about 10005.9999500300. Note that the first 4 decimals coincide. The cubic root of 100120035 is about 464.3445268073.

Adding to 100120035 its reverse (530021001), we get a palindrome (630141036).

The spelling of 100120035 in words is "one hundred million, one hundred twenty thousand, thirty-five".