102030442134000 has 80 divisors (see below), whose sum is σ = 328946145459360. Its totient is φ = 27208117900800.

The previous prime is 102030442133993. The next prime is 102030442134013. The reversal of 102030442134000 is 431244030201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102030442134000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8502530845 + ... + 8502542844.

It is an arithmetic number, because the mean of its divisors is an integer number (4111826818242).

Almost surely, 2^{102030442134000} is an apocalyptic number.

102030442134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102030442134000 is an abundant number, since it is smaller than the sum of its proper divisors (226915703325360).

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

102030442134000 is a wasteful number, since it uses less digits than its factorization.

102030442134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17005073715 (or 17005073699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102030442134000 its reverse (431244030201), we get a palindrome (102461686164201).

The spelling of 102030442134000 in words is "one hundred two trillion, thirty billion, four hundred forty-two million, one hundred thirty-four thousand".