100120101007 has 8 divisors (see below), whose sum is σ = 100382186000. Its totient is φ = 99858101184.

The previous prime is 100120100989. The next prime is 100120101143. The reversal of 100120101007 is 700101021001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100120101007 - 2¹¹ = 100120098959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120108007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2824528 + ... + 2859754.

It is an arithmetic number, because the mean of its divisors is an integer number (12547773250).

Almost surely, 2^100120101007 is an apocalyptic number.

100120101007 is a deficient number, since it is larger than the sum of its proper divisors (262084993).

100120101007 is an equidigital number, since it uses as much as digits as its factorization.

100120101007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42585.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 100120101007 its reverse (700101021001), we get a palindrome (800221122008).

The spelling of 100120101007 in words is "one hundred billion, one hundred twenty million, one hundred one thousand, seven".