10141110202332 has 288 divisors, whose sum is σ = 26974056775680. Its totient is φ = 2956242199680.

The previous prime is 10141110202291. The next prime is 10141110202339. The reversal of 10141110202332 is 23320201114101.

It is a super-2 number, since 2×10141110202332² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10141110202299 and 10141110202308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141110202339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1170619033 + ... + 1170627695.

It is an arithmetic number, because the mean of its divisors is an integer number (93659919360).

Almost surely, 2^{10141110202332} is an apocalyptic number.

10141110202332 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 10141110202332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487028387840).

10141110202332 is an abundant number, since it is smaller than the sum of its proper divisors (16832946573348).

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

10141110202332 is a wasteful number, since it uses less digits than its factorization.

10141110202332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10141110202332 its reverse (23320201114101), we get a palindrome (33461311316433).

The spelling of 10141110202332 in words is "ten trillion, one hundred forty-one billion, one hundred ten million, two hundred two thousand, three hundred thirty-two".