10201113121332 has 216 divisors, whose sum is σ = 28582089530400. Its totient is φ = 2823396113664.

The previous prime is 10201113121319. The next prime is 10201113121361. The reversal of 10201113121332 is 23312131110201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10201113121299 and 10201113121308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184310919 + ... + 184366257.

Almost surely, 2^{10201113121332} is an apocalyptic number.

10201113121332 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 10201113121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14291044765200).

10201113121332 is an abundant number, since it is smaller than the sum of its proper divisors (18380976409068).

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

10201113121332 is a wasteful number, since it uses less digits than its factorization.

10201113121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55663 (or 55617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10201113121332 its reverse (23312131110201), we get a palindrome (33513244231533).

The spelling of 10201113121332 in words is "ten trillion, two hundred one billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-two".