102031222102200 has 144 divisors (see below), whose sum is σ = 357552891511920. Its totient is φ = 26025355192320.

The previous prime is 102031222102193. The next prime is 102031222102207. The reversal of 102031222102200 is 2201222130201.

102031222102200 is a `hidden beast` number, since 10 + 20 + 312 + 22 + 102 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (102031222102193) and next prime (102031222102207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102031222102207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1232219737 + ... + 1232302536.

It is an arithmetic number, because the mean of its divisors is an integer number (2483006191055).

Almost surely, 2^{102031222102200} is an apocalyptic number.

102031222102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102031222102200 is an abundant number, since it is smaller than the sum of its proper divisors (255521669409720).

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

102031222102200 is a wasteful number, since it uses less digits than its factorization.

102031222102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464522318 (or 2464522306 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102031222102200 its reverse (2201222130201), we get a palindrome (104232444232401).

The spelling of 102031222102200 in words is "one hundred two trillion, thirty-one billion, two hundred twenty-two million, one hundred two thousand, two hundred".