102102220222200 has 576 divisors, whose sum is σ = 383830495776000. Its totient is φ = 24107915520000.

The previous prime is 102102220222181. The next prime is 102102220222231. The reversal of 102102220222200 is 2222022201201.

102102220222200 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 2 + 220 + 222 + 200 = 666.

102102220222200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 486163215 + ... + 486373185.

It is an arithmetic number, because the mean of its divisors is an integer number (666372388500).

Almost surely, 2^{102102220222200} is an apocalyptic number.

102102220222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102220222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191915247888000).

102102220222200 is an abundant number, since it is smaller than the sum of its proper divisors (281728275553800).

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

102102220222200 is a wasteful number, since it uses less digits than its factorization.

102102220222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210644 (or 210632 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102102220222200 its reverse (2222022201201), we get a palindrome (104324242423401).

The spelling of 102102220222200 in words is "one hundred two trillion, one hundred two billion, two hundred twenty million, two hundred twenty-two thousand, two hundred".