100100101111101 has 240 divisors, whose sum is σ = 191499634529280. Its totient is φ = 51633082609920.

The previous prime is 100100101111097. The next prime is 100100101111123. The reversal of 100100101111101 is 101111101001001.

It is not a de Polignac number, because 100100101111101 - 2² = 100100101111097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 581360515 + ... + 581532671.

It is an arithmetic number, because the mean of its divisors is an integer number (797915143872).

Almost surely, 2^{100100101111101} is an apocalyptic number.

It is an amenable number.

100100101111101 is a deficient number, since it is larger than the sum of its proper divisors (91399533418179).

100100101111101 is a wasteful number, since it uses less digits than its factorization.

100100101111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172446 (or 172430 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100100101111101 its reverse (101111101001001), we get a palindrome (201211202112102).

The spelling of 100100101111101 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one hundred one".