102034213130400 has 144 divisors (see below), whose sum is σ = 332145623694528. Its totient is φ = 27207136000000.

The previous prime is 102034213130387. The next prime is 102034213130431. The reversal of 102034213130400 is 4031312430201.

It is a happy number.

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

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, 31456540 + ... + 34548260.

It is an arithmetic number, because the mean of its divisors is an integer number (2306566831212).

Almost surely, 2^{102034213130400} is an apocalyptic number.

102034213130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102034213130400 is an abundant number, since it is smaller than the sum of its proper divisors (230111410564128).

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

102034213130400 is a wasteful number, since it uses less digits than its factorization.

102034213130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105495 (or 3105482 counting only the distinct ones).

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

Adding to 102034213130400 its reverse (4031312430201), we get a palindrome (106065525560601).

The spelling of 102034213130400 in words is "one hundred two trillion, thirty-four billion, two hundred thirteen million, one hundred thirty thousand, four hundred".