100144434132100 has 18 divisors (see below), whose sum is σ = 217313422066874. Its totient is φ = 40057773652800.

The previous prime is 100144434132031. The next prime is 100144434132101. The reversal of 100144434132100 is 1231434441001.

It can be written as a sum of positive squares in 3 ways, for example, as 11872696879684 + 88271737252416 = 3445678^2 + 9395304^2 .

It is not an unprimeable number, because it can be changed into a prime (100144434132101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500722170561 + ... + 500722170760.

Almost surely, 2^{100144434132100} is an apocalyptic number.

100144434132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144434132100 is an abundant number, since it is smaller than the sum of its proper divisors (117168987934774).

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

100144434132100 is a wasteful number, since it uses less digits than its factorization.

100144434132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001444341335 (or 1001444341328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 100144434132100 its reverse (1231434441001), we get a palindrome (101375868573101).

The spelling of 100144434132100 in words is "one hundred trillion, one hundred forty-four billion, four hundred thirty-four million, one hundred thirty-two thousand, one hundred".