102042331000 has 128 divisors (see below), whose sum is σ = 256091284800. Its totient is φ = 37938700800.

The previous prime is 102042330997. The next prime is 102042331051. The reversal of 102042331000 is 133240201.

It is a happy number.

It is a super-2 number, since 2×102042331000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 956334 + ... + 1057666.

Almost surely, 2^102042331000 is an apocalyptic number.

102042331000 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 102042331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128045642400).

102042331000 is an abundant number, since it is smaller than the sum of its proper divisors (154048953800).

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

102042331000 is a wasteful number, since it uses less digits than its factorization.

102042331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101426 (or 101412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102042331000 its reverse (133240201), we get a palindrome (102175571201).

The spelling of 102042331000 in words is "one hundred two billion, forty-two million, three hundred thirty-one thousand".