100101110110100 has 576 divisors, whose sum is σ = 255051352668672. Its totient is φ = 33744015360000.

The previous prime is 100101110110061. The next prime is 100101110110147. The reversal of 100101110110100 is 1011011101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25555553342 + ... + 25555557258.

It is an arithmetic number, because the mean of its divisors is an integer number (442797487272).

Almost surely, 2^{100101110110100} is an apocalyptic number.

100101110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101110110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127525676334336).

100101110110100 is an abundant number, since it is smaller than the sum of its proper divisors (154950242558572).

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

100101110110100 is a wasteful number, since it uses less digits than its factorization.

100101110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4269 counting only the distinct ones).

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

Adding to 100101110110100 its reverse (1011011101001), we get a palindrome (101112121211101).

Subtracting from 100101110110100 its reverse (1011011101001), we obtain a palindrome (99090099009099).

It can be divided in two parts, 1001011 and 10110100, that added together give a palindrome (11111111).

The spelling of 100101110110100 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred".