100110110212100 has 36 divisors (see below), whose sum is σ = 217239881359284. Its totient is φ = 40043870407680.

The previous prime is 100110110212081. The next prime is 100110110212129. The reversal of 100110110212100 is 1212011011001.

It can be written as a sum of positive squares in 6 ways, for example, as 35931009085504 + 64179101126596 = 5994248^2 + 8011186^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22382492 + ... + 26480108.

It is an arithmetic number, because the mean of its divisors is an integer number (6034441148869).

Almost surely, 2^{100110110212100} is an apocalyptic number.

100110110212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110110212100 is an abundant number, since it is smaller than the sum of its proper divisors (117129771147184).

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

100110110212100 is a wasteful number, since it uses less digits than its factorization.

100110110212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341944 (or 4341937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110110212100 its reverse (1212011011001), we get a palindrome (101322121223101).

The spelling of 100110110212100 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, two hundred twelve thousand, one hundred".