100105111001009 has 8 divisors (see below), whose sum is σ = 100201528900032. Its totient is φ = 100008695329200.

The previous prime is 100105111000997. The next prime is 100105111001023. The reversal of 100105111001009 is 900100111501001.

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 100105111001009 - 2⁴⁴ = 82512924956593 is a prime.

It is a super-2 number, since 2×100105111001009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105111001809) 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, 97720067 + ... + 98739159.

It is an arithmetic number, because the mean of its divisors is an integer number (12525191112504).

Almost surely, 2^{100105111001009} is an apocalyptic number.

It is an amenable number.

100105111001009 is a deficient number, since it is larger than the sum of its proper divisors (96417899023).

100105111001009 is a wasteful number, since it uses less digits than its factorization.

100105111001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113607.

The product of its (nonzero) digits is 45, while the sum is 20.

The spelling of 100105111001009 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one thousand, nine".