102122120212120 has 16 divisors (see below), whose sum is σ = 229774770477360. Its totient is φ = 40848848084832.

The previous prime is 102122120212097. The next prime is 102122120212129. The reversal of 102122120212120 is 21212021221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122120212129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1276526502612 + ... + 1276526502691.

It is an arithmetic number, because the mean of its divisors is an integer number (14360923154835).

Almost surely, 2^{102122120212120} is an apocalyptic number.

102122120212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122120212120 is an abundant number, since it is smaller than the sum of its proper divisors (127652650265240).

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

102122120212120 is a wasteful number, since it uses less digits than its factorization.

102122120212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553053005314 (or 2553053005310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102122120212120 its reverse (21212021221201), we get a palindrome (123334141433321).

The spelling of 102122120212120 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".