101132411447232 has 280 divisors, whose sum is σ = 328701763819440. Its totient is φ = 30490617507840.

The previous prime is 101132411447213. The next prime is 101132411447239. The reversal of 101132411447232 is 232744114231101.

101132411447232 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 2 + 411 + 4 + 4 + 7 + 232 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132411447239) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6732444 + ... + 15735012.

Almost surely, 2^{101132411447232} is an apocalyptic number.

101132411447232 is a gapful number since it is divisible by the number (12) 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 101132411447232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164350881909720).

101132411447232 is an abundant number, since it is smaller than the sum of its proper divisors (227569352372208).

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

101132411447232 is a wasteful number, since it uses less digits than its factorization.

101132411447232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002801 (or 9002782 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 101132411447232 its reverse (232744114231101), we get a palindrome (333876525678333).

The spelling of 101132411447232 in words is "one hundred one trillion, one hundred thirty-two billion, four hundred eleven million, four hundred forty-seven thousand, two hundred thirty-two".