20101332030120 has 384 divisors, whose sum is σ = 71497542205440. Its totient is φ = 4857395627520.

The previous prime is 20101332030049. The next prime is 20101332030193. The reversal of 20101332030120 is 2103023310102.

20101332030120 is a `hidden beast` number, since 2 + 0 + 10 + 1 + 332 + 0 + 301 + 20 = 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 = 20101332030093 and 20101332030102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3559645137 + ... + 3559650783.

It is an arithmetic number, because the mean of its divisors is an integer number (186191516160).

Almost surely, 2^{20101332030120} is an apocalyptic number.

20101332030120 is a gapful number since it is divisible by the number (20) 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 20101332030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748771102720).

20101332030120 is an abundant number, since it is smaller than the sum of its proper divisors (51396210175320).

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

20101332030120 is a wasteful number, since it uses less digits than its factorization.

20101332030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20101332030120 its reverse (2103023310102), we get a palindrome (22204355340222).

The spelling of 20101332030120 in words is "twenty trillion, one hundred one billion, three hundred thirty-two million, thirty thousand, one hundred twenty".