10201231234120 has 128 divisors (see below), whose sum is σ = 24137525858400. Its totient is φ = 3874552012800.

The previous prime is 10201231234099. The next prime is 10201231234123. The reversal of 10201231234120 is 2143213210201.

It can be written as a sum of positive squares in 16 ways, for example, as 691914530596 + 9509316703524 = 831814^2 + 3083718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201231234091 and 10201231234100.

It is not an unprimeable number, because it can be changed into a prime (10201231234123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789745902 + ... + 789758818.

Almost surely, 2^{10201231234120} is an apocalyptic number.

10201231234120 is a gapful number since it is divisible by the number (10) 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 10201231234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068762929200).

10201231234120 is an abundant number, since it is smaller than the sum of its proper divisors (13936294624280).

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

10201231234120 is a wasteful number, since it uses less digits than its factorization.

10201231234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24179 (or 24175 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10201231234120 its reverse (2143213210201), we get a palindrome (12344444444321).

The spelling of 10201231234120 in words is "ten trillion, two hundred one billion, two hundred thirty-one million, two hundred thirty-four thousand, one hundred twenty".