101204440100 has 18 divisors (see below), whose sum is σ = 219613635234. Its totient is φ = 40481776000.

The previous prime is 101204440097. The next prime is 101204440121. The reversal of 101204440100 is 1044402101.

It can be written as a sum of positive squares in 3 ways, for example, as 3726858304 + 97477581796 = 61048^2 + 312214^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506022101 + ... + 506022300.

It is an arithmetic number, because the mean of its divisors is an integer number (12200757513).

Almost surely, 2^101204440100 is an apocalyptic number.

101204440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101204440100 is an abundant number, since it is smaller than the sum of its proper divisors (118409195134).

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

101204440100 is a wasteful number, since it uses less digits than its factorization.

101204440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012044415 (or 1012044408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101204440100 its reverse (1044402101), we get a palindrome (102248842201).

The spelling of 101204440100 in words is "one hundred one billion, two hundred four million, four hundred forty thousand, one hundred".