10132202013120 has 504 divisors, whose sum is σ = 38393862697008. Its totient is φ = 2450709381120.

The previous prime is 10132202013079. The next prime is 10132202013127. The reversal of 10132202013120 is 2131020223101.

10132202013120 is a `hidden beast` number, since 1 + 0 + 132 + 20 + 201 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132202013093 and 10132202013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132202013127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154343824 + ... + 154409456.

It is an arithmetic number, because the mean of its divisors is an integer number (76178299002).

Almost surely, 2^{10132202013120} is an apocalyptic number.

10132202013120 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 10132202013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19196931348504).

10132202013120 is an abundant number, since it is smaller than the sum of its proper divisors (28261660683888).

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

10132202013120 is a wasteful number, since it uses less digits than its factorization.

10132202013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66121 (or 66097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132202013120 its reverse (2131020223101), we get a palindrome (12263222236221).

The spelling of 10132202013120 in words is "ten trillion, one hundred thirty-two billion, two hundred two million, thirteen thousand, one hundred twenty".