100101101110100 has 72 divisors (see below), whose sum is σ = 230984113054968. Its totient is φ = 37523381555200.

The previous prime is 100101101110093. The next prime is 100101101110103. The reversal of 100101101110100 is 1011101101001.

It can be written as a sum of positive squares in 12 ways, for example, as 4366578612496 + 95734522497604 = 2089636^2 + 9784402^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101110103) 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, 125962271 + ... + 126754470.

It is an arithmetic number, because the mean of its divisors is an integer number (3208112681319).

Almost surely, 2^{100101101110100} is an apocalyptic number.

100101101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101101110100 is an abundant number, since it is smaller than the sum of its proper divisors (130883011944868).

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

100101101110100 is a wasteful number, since it uses less digits than its factorization.

100101101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252717005 (or 252716998 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101101110100 its reverse (1011101101001), we get a palindrome (101112202211101).

Subtracting from 100101101110100 its reverse (1011101101001), we obtain a palindrome (99090000009099).

The spelling of 100101101110100 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred".