102031435000000 has 672 divisors, whose sum is σ = 280442666439936. Its totient is φ = 36801600000000.

The previous prime is 102031434999997. The next prime is 102031435000063. The reversal of 102031435000000 is 534130201.

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 95 ways as a sum of consecutive naturals, for example, 82884999385 + ... + 82885000615.

It is an arithmetic number, because the mean of its divisors is an integer number (417325396488).

Almost surely, 2^{102031435000000} is an apocalyptic number.

102031435000000 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 102031435000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140221333219968).

102031435000000 is an abundant number, since it is smaller than the sum of its proper divisors (178411231439936).

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

102031435000000 is an frugal number, since it uses more digits than its factorization.

102031435000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 102031435000000 its reverse (534130201), we get a palindrome (102031969130201).

The spelling of 102031435000000 in words is "one hundred two trillion, thirty-one billion, four hundred thirty-five million", and thus it is an aban number.