10132042142200 has 192 divisors, whose sum is σ = 26903260581120. Its totient is φ = 3512703744000.

The previous prime is 10132042142153. The next prime is 10132042142267. The reversal of 10132042142200 is 224124023101.

10132042142200 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 (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15208080 + ... + 15860320.

It is an arithmetic number, because the mean of its divisors is an integer number (140121148860).

Almost surely, 2^{10132042142200} is an apocalyptic number.

10132042142200 is a gapful number since it is divisible by the number (10) 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 10132042142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451630290560).

10132042142200 is an abundant number, since it is smaller than the sum of its proper divisors (16771218438920).

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

10132042142200 is a wasteful number, since it uses less digits than its factorization.

10132042142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652598 (or 652589 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10132042142200 its reverse (224124023101), we get a palindrome (10356166165301).

The spelling of 10132042142200 in words is "ten trillion, one hundred thirty-two billion, forty-two million, one hundred forty-two thousand, two hundred".