101433300100 has 72 divisors (see below), whose sum is σ = 242497979136. Its totient is φ = 36519600000.

The previous prime is 101433300083. The next prime is 101433300119. The reversal of 101433300100 is 1003334101.

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 23 ways as a sum of consecutive naturals, for example, 345396 + ... + 567595.

It is an arithmetic number, because the mean of its divisors is an integer number (3368027488).

Almost surely, 2^101433300100 is an apocalyptic number.

101433300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101433300100 is an abundant number, since it is smaller than the sum of its proper divisors (141064679036).

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

101433300100 is a wasteful number, since it uses less digits than its factorization.

101433300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913117 (or 913110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101433300100 its reverse (1003334101), we get a palindrome (102436634201).

The spelling of 101433300100 in words is "one hundred one billion, four hundred thirty-three million, three hundred thousand, one hundred".