202010023122120 has 384 divisors, whose sum is σ = 694859413248000. Its totient is φ = 50823962542080.

The previous prime is 202010023122119. The next prime is 202010023122139. The reversal of 202010023122120 is 21221320010202.

202010023122120 is a `hidden beast` number, since 20 + 20 + 100 + 2 + 312 + 212 + 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 = 202010023122093 and 202010023122102.

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, 78739185 + ... + 81264255.

It is an arithmetic number, because the mean of its divisors is an integer number (1809529722000).

Almost surely, 2^{202010023122120} is an apocalyptic number.

202010023122120 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 202010023122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347429706624000).

202010023122120 is an abundant number, since it is smaller than the sum of its proper divisors (492849390125880).

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

202010023122120 is a wasteful number, since it uses less digits than its factorization.

202010023122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525293 (or 2525286 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202010023122120 its reverse (21221320010202), we get a palindrome (223231343132322).

The spelling of 202010023122120 in words is "two hundred two trillion, ten billion, twenty-three million, one hundred twenty-two thousand, one hundred twenty".