10102443031032 has 128 divisors (see below), whose sum is σ = 27763788510720. Its totient is φ = 3037870080000.

The previous prime is 10102443031003. The next prime is 10102443031063. The reversal of 10102443031032 is 23013034420101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10102443030993 and 10102443031011.

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, 37857432 + ... + 38123352.

It is an arithmetic number, because the mean of its divisors is an integer number (216904597740).

Almost surely, 2^{10102443031032} is an apocalyptic number.

10102443031032 is a gapful number since it is divisible by the number (12) 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 10102443031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881894255360).

10102443031032 is an abundant number, since it is smaller than the sum of its proper divisors (17661345479688).

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

10102443031032 is a wasteful number, since it uses less digits than its factorization.

10102443031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267045 (or 267041 counting only the distinct ones).

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

Adding to 10102443031032 its reverse (23013034420101), we get a palindrome (33115477451133).

The spelling of 10102443031032 in words is "ten trillion, one hundred two billion, four hundred forty-three million, thirty-one thousand, thirty-two".