102122102121200 has 120 divisors (see below), whose sum is σ = 285150625560960. Its totient is φ = 34419846470400.

The previous prime is 102122102121181. The next prime is 102122102121203. The reversal of 102122102121200 is 2121201221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122102121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308921066 + ... + 309251465.

It is an arithmetic number, because the mean of its divisors is an integer number (2376255213008).

Almost surely, 2^{102122102121200} is an apocalyptic number.

102122102121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122102121200 is an abundant number, since it is smaller than the sum of its proper divisors (183028523439760).

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

102122102121200 is a wasteful number, since it uses less digits than its factorization.

102122102121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618172615 (or 618172604 counting only the distinct ones).

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

Adding to 102122102121200 its reverse (2121201221201), we get a palindrome (104243303342401).

The spelling of 102122102121200 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred".