10202121212120 has 64 divisors (see below), whose sum is σ = 23886716832000. Its totient is φ = 3918386602368.

The previous prime is 10202121212119. The next prime is 10202121212161. The reversal of 10202121212120 is 2121212120201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50165180 + ... + 50368139.

It is an arithmetic number, because the mean of its divisors is an integer number (373229950500).

Almost surely, 2^{10202121212120} is an apocalyptic number.

10202121212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121212120 is an abundant number, since it is smaller than the sum of its proper divisors (13684595619880).

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

10202121212120 is a wasteful number, since it uses less digits than its factorization.

10202121212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100533432 (or 100533428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10202121212120 its reverse (2121212120201), we get a palindrome (12323333332321).

The spelling of 10202121212120 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".