10211124132132 has 192 divisors, whose sum is σ = 30010690805760. Its totient is φ = 2624974272000.

The previous prime is 10211124132113. The next prime is 10211124132199. The reversal of 10211124132132 is 23123142111201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261007669 + ... + 261046787.

It is an arithmetic number, because the mean of its divisors is an integer number (156305681280).

Almost surely, 2^{10211124132132} is an apocalyptic number.

10211124132132 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 10211124132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15005345402880).

10211124132132 is an abundant number, since it is smaller than the sum of its proper divisors (19799566673628).

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

10211124132132 is a wasteful number, since it uses less digits than its factorization.

10211124132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42042 (or 42040 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10211124132132 its reverse (23123142111201), we get a palindrome (33334266243333).

The spelling of 10211124132132 in words is "ten trillion, two hundred eleven billion, one hundred twenty-four million, one hundred thirty-two thousand, one hundred thirty-two".