10211330431120 has 160 divisors (see below), whose sum is σ = 29221954175232. Its totient is φ = 3231514331136.

The previous prime is 10211330431063. The next prime is 10211330431139. The reversal of 10211330431120 is 2113403311201.

It is a junction number, because it is equal to n+sod(n) for n = 10211330431091 and 10211330431100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151193679 + ... + 151261201.

Almost surely, 2^{10211330431120} is an apocalyptic number.

10211330431120 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 10211330431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610977087616).

10211330431120 is an abundant number, since it is smaller than the sum of its proper divisors (19010623744112).

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

10211330431120 is a wasteful number, since it uses less digits than its factorization.

10211330431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88329 (or 88323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10211330431120 its reverse (2113403311201), we get a palindrome (12324733742321).

The spelling of 10211330431120 in words is "ten trillion, two hundred eleven billion, three hundred thirty million, four hundred thirty-one thousand, one hundred twenty".