10042101432 has 96 divisors (see below), whose sum is σ = 30045600000. Its totient is φ = 3004522560.

The previous prime is 10042101403. The next prime is 10042101463. The reversal of 10042101432 is 23410124001.

10042101432 is a `hidden beast` number, since 100 + 421 + 0 + 143 + 2 = 666.

10042101432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17682 + ... + 142817.

It is an arithmetic number, because the mean of its divisors is an integer number (312975000).

Almost surely, 2^10042101432 is an apocalyptic number.

10042101432 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 10042101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022800000).

10042101432 is an abundant number, since it is smaller than the sum of its proper divisors (20003498568).

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

10042101432 is a wasteful number, since it uses less digits than its factorization.

10042101432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160601 (or 160594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10042101432 its reverse (23410124001), we get a palindrome (33452225433).

The spelling of 10042101432 in words is "ten billion, forty-two million, one hundred one thousand, four hundred thirty-two".