100120011001013 has 8 divisors (see below), whose sum is σ = 100135937365632. Its totient is φ = 100104085128096.

The previous prime is 100120011000901. The next prime is 100120011001033. The reversal of 100120011001013 is 310100110021001.

It is a happy number.

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 100120011001013 - 2²² = 100120006806709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120011000985 and 100120011001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120011001033) 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, 815400881 + ... + 815523657.

It is an arithmetic number, because the mean of its divisors is an integer number (12516992170704).

Almost surely, 2^{100120011001013} is an apocalyptic number.

It is an amenable number.

100120011001013 is a deficient number, since it is larger than the sum of its proper divisors (15926364619).

100120011001013 is a wasteful number, since it uses less digits than its factorization.

100120011001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245851.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100120011001013 its reverse (310100110021001), we get a palindrome (410220121022014).

The spelling of 100120011001013 in words is "one hundred trillion, one hundred twenty billion, eleven million, one thousand, thirteen".