10132142020 has 96 divisors (see below), whose sum is σ = 28568445696. Its totient is φ = 2915136000.

The previous prime is 10132141993. The next prime is 10132142051. The reversal of 10132142020 is 2024123101.

It is a junction number, because it is equal to n+sod(n) for n = 10132141985 and 10132142003.

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, 233031 + ... + 273070.

It is an arithmetic number, because the mean of its divisors is an integer number (297587976).

Almost surely, 2^10132142020 is an apocalyptic number.

10132142020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132142020 is an abundant number, since it is smaller than the sum of its proper divisors (18436303676).

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

10132142020 is a wasteful number, since it uses less digits than its factorization.

10132142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506141 (or 506139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10132142020 its reverse (2024123101), we get a palindrome (12156265121).

It can be divided in two parts, 101321 and 42020, that added together give a palindrome (143341).

The spelling of 10132142020 in words is "ten billion, one hundred thirty-two million, one hundred forty-two thousand, twenty".