102042034200000 has 1680 divisors, whose sum is σ = 407933164856448. Its totient is φ = 25123737600000.

The previous prime is 102042034199971. The next prime is 102042034200047. The reversal of 102042034200000 is 2430240201.

102042034200000 is a `hidden beast` number, since 10 + 2 + 0 + 420 + 34 + 200 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 239 ways as a sum of consecutive naturals, for example, 14596196505 + ... + 14596203495.

Almost surely, 2^{102042034200000} is an apocalyptic number.

102042034200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102042034200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203966582428224).

102042034200000 is an abundant number, since it is smaller than the sum of its proper divisors (305891130656448).

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

102042034200000 is an frugal number, since it uses more digits than its factorization.

102042034200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102042034200000 its reverse (2430240201), we get a palindrome (102044464440201).

The spelling of 102042034200000 in words is "one hundred two trillion, forty-two billion, thirty-four million, two hundred thousand".