100100100010101 has 16 divisors (see below), whose sum is σ = 133598875737600. Its totient is φ = 66667371069680.

The previous prime is 100100100010091. The next prime is 100100100010117. The reversal of 100100100010101 is 101010001001001.

It is a cyclic number.

It is not a de Polignac number, because 100100100010101 - 2²¹ = 100100097912949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100100010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100011101) 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, 44055946 + ... + 46272308.

It is an arithmetic number, because the mean of its divisors is an integer number (8349929733600).

Almost surely, 2^{100100100010101} is an apocalyptic number.

It is an amenable number.

100100100010101 is a deficient number, since it is larger than the sum of its proper divisors (33498775727499).

100100100010101 is a wasteful number, since it uses less digits than its factorization.

100100100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231256.

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

Adding to 100100100010101 its reverse (101010001001001), we get a palindrome (201110101011102).

The spelling of 100100100010101 in words is "one hundred trillion, one hundred billion, one hundred million, ten thousand, one hundred one".