102434133120 has 128 divisors (see below), whose sum is σ = 356191490880. Its totient is φ = 24832512000.

The previous prime is 102434133091. The next prime is 102434133121. The reversal of 102434133120 is 21331434201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102434133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2403931 + ... + 2446170.

Almost surely, 2^102434133120 is an apocalyptic number.

102434133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102434133120 is an abundant number, since it is smaller than the sum of its proper divisors (253757357760).

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

102434133120 is a wasteful number, since it uses less digits than its factorization.

102434133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850134 (or 4850122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102434133120 its reverse (21331434201), we get a palindrome (123765567321).

The spelling of 102434133120 in words is "one hundred two billion, four hundred thirty-four million, one hundred thirty-three thousand, one hundred twenty".