100001009101 has 32 divisors (see below), whose sum is σ = 117861838848. Its totient is φ = 83087078400.

The previous prime is 100001009099. The next prime is 100001009131. The reversal of 100001009101 is 101900100001.

It is a cyclic number.

It is not a de Polignac number, because 100001009101 - 2¹ = 100001009099 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 (100001009131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7063636 + ... + 7077778.

It is an arithmetic number, because the mean of its divisors is an integer number (3683182464).

Almost surely, 2^100001009101 is an apocalyptic number.

It is an amenable number.

100001009101 is a deficient number, since it is larger than the sum of its proper divisors (17860829747).

100001009101 is a wasteful number, since it uses less digits than its factorization.

100001009101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14461.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100001009101 its reverse (101900100001), we get a palindrome (201901109102).

It can be divided in two parts, 10000 and 1009101, that added together give a palindrome (1019101).

The spelling of 100001009101 in words is "one hundred billion, one million, nine thousand, one hundred one".