100001101111128 has 96 divisors (see below), whose sum is σ = 310535450184960. Its totient is φ = 28478675563200.

The previous prime is 100001101111127. The next prime is 100001101111129. The reversal of 100001101111128 is 821111101100001.

It is an interprime number because it is at equal distance from previous prime (100001101111127) and next prime (100001101111129).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100001101111128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101111127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322996548 + ... + 323306003.

It is an arithmetic number, because the mean of its divisors is an integer number (3234744272760).

Almost surely, 2^{100001101111128} is an apocalyptic number.

100001101111128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100001101111128 is an abundant number, since it is smaller than the sum of its proper divisors (210534349073832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001101111128 is a wasteful number, since it uses less digits than its factorization.

100001101111128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646302877 (or 646302870 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 100001101111128 its reverse (821111101100001), we get a palindrome (921112202211129).

The spelling of 100001101111128 in words is "one hundred trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred twenty-eight".