100120101001 has 4 divisors (see below), whose sum is σ = 100325686912. Its totient is φ = 99914515092.

The previous prime is 100120100989. The next prime is 100120101143. The reversal of 100120101001 is 100101021001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100101021001 = 17 ⋅5888295353.

It is a cyclic number.

It is not a de Polignac number, because 100120101001 - 2⁹ = 100120100489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120101701) 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 3 ways as a sum of consecutive naturals, for example, 102792225 + ... + 102793198.

It is an arithmetic number, because the mean of its divisors is an integer number (25081421728).

Almost surely, 2^100120101001 is an apocalyptic number.

It is an amenable number.

100120101001 is a deficient number, since it is larger than the sum of its proper divisors (205585911).

100120101001 is an equidigital number, since it uses as much as digits as its factorization.

100120101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205585910.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100120101001 its reverse (100101021001), we get a palindrome (200221122002).

The spelling of 100120101001 in words is "one hundred billion, one hundred twenty million, one hundred one thousand, one".