10132223201120 has 96 divisors (see below), whose sum is σ = 24198147634752. Its totient is φ = 4008830072832.

The previous prime is 10132223200997. The next prime is 10132223201153. The reversal of 10132223201120 is 2110232223101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10132223201092 and 10132223201101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13697054 + ... + 14417826.

It is an arithmetic number, because the mean of its divisors is an integer number (252064037862).

Almost surely, 2^{10132223201120} is an apocalyptic number.

10132223201120 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 10132223201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099073817376).

10132223201120 is an abundant number, since it is smaller than the sum of its proper divisors (14065924433632).

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

10132223201120 is a wasteful number, since it uses less digits than its factorization.

10132223201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721744 (or 721736 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10132223201120 its reverse (2110232223101), we get a palindrome (12242455424221).

The spelling of 10132223201120 in words is "ten trillion, one hundred thirty-two billion, two hundred twenty-three million, two hundred one thousand, one hundred twenty".