102120111222200 has 48 divisors (see below), whose sum is σ = 245088266948160. Its totient is φ = 39530365632000.

The previous prime is 102120111222179. The next prime is 102120111222229. The reversal of 102120111222200 is 2222111021201.

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 11 ways as a sum of consecutive naturals, for example, 8235486641 + ... + 8235499040.

It is an arithmetic number, because the mean of its divisors is an integer number (5106005561420).

Almost surely, 2^{102120111222200} is an apocalyptic number.

102120111222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120111222200 is an abundant number, since it is smaller than the sum of its proper divisors (142968155725960).

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

102120111222200 is a wasteful number, since it uses less digits than its factorization.

102120111222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16470985728 (or 16470985719 counting only the distinct ones).

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

Adding to 102120111222200 its reverse (2222111021201), we get a palindrome (104342222243401).

The spelling of 102120111222200 in words is "one hundred two trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-two thousand, two hundred".