102212110240002 has 288 divisors, whose sum is σ = 262995967608192. Its totient is φ = 28101977284608.

The previous prime is 102212110240001. The next prime is 102212110240183. The reversal of 102212110240002 is 200042011212201.

102212110240002 is a `hidden beast` number, since 10 + 221 + 21 + 10 + 2 + 400 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102212110240001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5759393293 + ... + 5759411039.

It is an arithmetic number, because the mean of its divisors is an integer number (913180443084).

Almost surely, 2^{102212110240002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212110240002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131497983804096).

102212110240002 is an abundant number, since it is smaller than the sum of its proper divisors (160783857368190).

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

102212110240002 is a wasteful number, since it uses less digits than its factorization.

102212110240002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18202 (or 18162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212110240002 its reverse (200042011212201), we get a palindrome (302254121452203).

The spelling of 102212110240002 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, two hundred forty thousand, two".