10142042100 has 36 divisors (see below), whose sum is σ = 29344309344. Its totient is φ = 2704544480.

The previous prime is 10142042077. The next prime is 10142042101. The reversal of 10142042100 is 124024101.

10142042100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10142042100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10142042100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142042101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16903104 + ... + 16903703.

It is an arithmetic number, because the mean of its divisors is an integer number (815119704).

Almost surely, 2^10142042100 is an apocalyptic number.

10142042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142042100 is an abundant number, since it is smaller than the sum of its proper divisors (19202267244).

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

10142042100 is a wasteful number, since it uses less digits than its factorization.

10142042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33806824 (or 33806817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10142042100 its reverse (124024101), we get a palindrome (10266066201).

The spelling of 10142042100 in words is "ten billion, one hundred forty-two million, forty-two thousand, one hundred".