20213101203120 has 480 divisors, whose sum is σ = 78015435264000. Its totient is φ = 4594222043136.

The previous prime is 20213101203089. The next prime is 20213101203187. The reversal of 20213101203120 is 2130210131202.

20213101203120 is a `hidden beast` number, since 2 + 0 + 21 + 310 + 1 + 20 + 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 = 20213101203093 and 20213101203102.

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, 2069101596 + ... + 2069111364.

It is an arithmetic number, because the mean of its divisors is an integer number (162532156800).

Almost surely, 2^{20213101203120} is an apocalyptic number.

20213101203120 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 20213101203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39007717632000).

20213101203120 is an abundant number, since it is smaller than the sum of its proper divisors (57802334060880).

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

20213101203120 is a wasteful number, since it uses less digits than its factorization.

20213101203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12057 (or 12048 counting only the distinct ones).

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

Adding to 20213101203120 its reverse (2130210131202), we get a palindrome (22343311334322).

The spelling of 20213101203120 in words is "twenty trillion, two hundred thirteen billion, one hundred one million, two hundred three thousand, one hundred twenty".