100001021107 has 8 divisors (see below), whose sum is σ = 109725359184. Its totient is φ = 90566961888.

The previous prime is 100001021101. The next prime is 100001021129. The reversal of 100001021107 is 701120100001.

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

It is not a de Polignac number, because 100001021107 - 2¹⁹ = 100000496819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001021101) 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 7 ways as a sum of consecutive naturals, for example, 72568993 + ... + 72570370.

It is an arithmetic number, because the mean of its divisors is an integer number (13715669898).

Almost surely, 2^100001021107 is an apocalyptic number.

100001021107 is a deficient number, since it is larger than the sum of its proper divisors (9724338077).

100001021107 is a wasteful number, since it uses less digits than its factorization.

100001021107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145139429.

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

Adding to 100001021107 its reverse (701120100001), we get a palindrome (801121121108).

The spelling of 100001021107 in words is "one hundred billion, one million, twenty-one thousand, one hundred seven".