10202122212120 has 192 divisors, whose sum is σ = 35151515792640. Its totient is φ = 2561648716800.

The previous prime is 10202122212049. The next prime is 10202122212133. The reversal of 10202122212120 is 2121222120201.

It is a happy number.

10202122212120 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 221 + 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 = 10202122212093 and 10202122212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11940711 + ... + 12766550.

It is an arithmetic number, because the mean of its divisors is an integer number (183080811420).

Almost surely, 2^{10202122212120} is an apocalyptic number.

10202122212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202122212120 is an abundant number, since it is smaller than the sum of its proper divisors (24949393580520).

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

10202122212120 is a wasteful number, since it uses less digits than its factorization.

10202122212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24707346 (or 24707339 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202122212120 its reverse (2121222120201), we get a palindrome (12323344332321).

The spelling of 10202122212120 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".