100101000010101 has 16 divisors (see below), whose sum is σ = 134789980104768. Its totient is φ = 66073015008000.

The previous prime is 100101000010087. The next prime is 100101000010103. The reversal of 100101000010101 is 101010000101001.

It is not a de Polignac number, because 100101000010101 - 2⁵ = 100101000010069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101000010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101000010103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111934605 + ... + 112825341.

It is an arithmetic number, because the mean of its divisors is an integer number (8424373756548).

Almost surely, 2^{100101000010101} is an apocalyptic number.

It is an amenable number.

100101000010101 is a deficient number, since it is larger than the sum of its proper divisors (34688980094667).

100101000010101 is a wasteful number, since it uses less digits than its factorization.

100101000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261732.

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

Adding to 100101000010101 its reverse (101010000101001), we get a palindrome (201111000111102).

The spelling of 100101000010101 in words is "one hundred trillion, one hundred one billion, ten thousand, one hundred one".