10132042660272 has 120 divisors (see below), whose sum is σ = 30538003755168. Its totient is φ = 3117433881600.

The previous prime is 10132042660237. The next prime is 10132042660273. The reversal of 10132042660272 is 27206624023101.

10132042660272 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 0 + 42 + 6 + 602 + 7 + 2 = 666.

10132042660272 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 2×10132042660272² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10132042660273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58452772 + ... + 58625852.

Almost surely, 2^{10132042660272} is an apocalyptic number.

10132042660272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132042660272 is an abundant number, since it is smaller than the sum of its proper divisors (20405961094896).

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

10132042660272 is a wasteful number, since it uses less digits than its factorization.

10132042660272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204379 (or 204370 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 10132042660272 its reverse (27206624023101), we get a palindrome (37338666683373).

The spelling of 10132042660272 in words is "ten trillion, one hundred thirty-two billion, forty-two million, six hundred sixty thousand, two hundred seventy-two".