10142001020 has 24 divisors (see below), whose sum is σ = 21306121200. Its totient is φ = 4055292032.

The previous prime is 10142000929. The next prime is 10142001031. The reversal of 10142001020 is 2010024101.

10142001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10142000992 and 10142001010.

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 7 ways as a sum of consecutive naturals, for example, 38330 + ... + 147489.

It is an arithmetic number, because the mean of its divisors is an integer number (887755050).

Almost surely, 2^10142001020 is an apocalyptic number.

10142001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142001020 is an abundant number, since it is smaller than the sum of its proper divisors (11164120180).

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

10142001020 is a wasteful number, since it uses less digits than its factorization.

10142001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188557 (or 188555 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10142001020 its reverse (2010024101), we get a palindrome (12152025121).

The spelling of 10142001020 in words is "ten billion, one hundred forty-two million, one thousand, twenty".