100100100100101 has 16 divisors (see below), whose sum is σ = 134802183394560. Its totient is φ = 66065845003200.

The previous prime is 100100100100073. The next prime is 100100100100139. The reversal of 100100100100101 is 101001001001001.

It is not a de Polignac number, because 100100100100101 - 2⁷ = 100100100099973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100100100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100100201) 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, 14133250 + ... + 19998723.

It is an arithmetic number, because the mean of its divisors is an integer number (8425136462160).

Almost surely, 2^{100100100100101} is an apocalyptic number.

It is an amenable number.

100100100100101 is a deficient number, since it is larger than the sum of its proper divisors (34702083294459).

100100100100101 is a wasteful number, since it uses less digits than its factorization.

100100100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34141756.

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

Adding to 100100100100101 its reverse (101001001001001), we get a palindrome (201101101101102).

The spelling of 100100100100101 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred thousand, one hundred one".