100100110101 has 8 divisors (see below), whose sum is σ = 133844907840. Its totient is φ = 66544359552.

The previous prime is 100100110051. The next prime is 100100110129. The reversal of 100100110101 is 101011001001.

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

It is not a de Polignac number, because 100100110101 - 2¹⁰ = 100100109077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110181) 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, 47260561 + ... + 47262678.

It is an arithmetic number, because the mean of its divisors is an integer number (16730613480).

Almost surely, 2^100100110101 is an apocalyptic number.

It is an amenable number.

100100110101 is a deficient number, since it is larger than the sum of its proper divisors (33744797739).

100100110101 is an equidigital number, since it uses as much as digits as its factorization.

100100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94523595.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100110101 its reverse (101011001001), we get a palindrome (201111111102).

It can be divided in two parts, 1001001 and 10101, that multiplied together give a palindrome (10111111101).

The spelling of 100100110101 in words is "one hundred billion, one hundred million, one hundred ten thousand, one hundred one".