10111210133832 has 512 divisors, whose sum is σ = 31015415808000. Its totient is φ = 3037868789760.

The previous prime is 10111210133821. The next prime is 10111210133839. The reversal of 10111210133832 is 23833101211101.

10111210133832 is a `hidden beast` number, since 1 + 0 + 111 + 210 + 1 + 338 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10111210133796 and 10111210133805.

It is not an unprimeable number, because it can be changed into a prime (10111210133839) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11450973663 + ... + 11450974545.

It is an arithmetic number, because the mean of its divisors is an integer number (60576984000).

Almost surely, 2^{10111210133832} is an apocalyptic number.

10111210133832 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 10111210133832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507707904000).

10111210133832 is an abundant number, since it is smaller than the sum of its proper divisors (20904205674168).

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

10111210133832 is a wasteful number, since it uses less digits than its factorization.

10111210133832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 10111210133832 its reverse (23833101211101), we get a palindrome (33944311344933).

The spelling of 10111210133832 in words is "ten trillion, one hundred eleven billion, two hundred ten million, one hundred thirty-three thousand, eight hundred thirty-two".