102122120210200 has 96 divisors (see below), whose sum is σ = 242408476114560. Its totient is φ = 39999018009600.

The previous prime is 102122120210197. The next prime is 102122120210203. The reversal of 102122120210200 is 2012021221201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102122120210197) and next prime (102122120210203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122120210203) 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, 16047709 + ... + 21488908.

It is an arithmetic number, because the mean of its divisors is an integer number (2525088292860).

Almost surely, 2^{102122120210200} is an apocalyptic number.

102122120210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122120210200 is an abundant number, since it is smaller than the sum of its proper divisors (140286355904360).

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

102122120210200 is a wasteful number, since it uses less digits than its factorization.

102122120210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37536917 (or 37536908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122120210200 its reverse (2012021221201), we get a palindrome (104134141431401).

The spelling of 102122120210200 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred ten thousand, two hundred".