10142132200 has 48 divisors (see below), whose sum is σ = 23588763660. Its totient is φ = 4055424000.

The previous prime is 10142132191. The next prime is 10142132207. The reversal of 10142132200 is 223124101.

It can be written as a sum of positive squares in 6 ways, for example, as 686125636 + 9456006564 = 26194^2 + 97242^2 .

It is not an unprimeable number, because it can be changed into a prime (10142132207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701040 + ... + 715360.

Almost surely, 2^10142132200 is an apocalyptic number.

10142132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142132200 is an abundant number, since it is smaller than the sum of its proper divisors (13446631460).

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

10142132200 is a wasteful number, since it uses less digits than its factorization.

10142132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17878 (or 17869 counting only the distinct ones).

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

Adding to 10142132200 its reverse (223124101), we get a palindrome (10365256301).

The spelling of 10142132200 in words is "ten billion, one hundred forty-two million, one hundred thirty-two thousand, two hundred".