102102121222002 has 96 divisors (see below), whose sum is σ = 255629284133184. Its totient is φ = 29108526796800.

The previous prime is 102102121221949. The next prime is 102102121222063. The reversal of 102102121222002 is 200222121201201.

It is a happy number.

102102121222002 is a `hidden beast` number, since 1 + 0 + 210 + 21 + 212 + 220 + 0 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 2526978 + ... + 14511714.

It is an arithmetic number, because the mean of its divisors is an integer number (2662805043054).

Almost surely, 2^{102102121222002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102121222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127814642066592).

102102121222002 is an abundant number, since it is smaller than the sum of its proper divisors (153527162911182).

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

102102121222002 is a wasteful number, since it uses less digits than its factorization.

102102121222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987304 (or 11987301 counting only the distinct ones).

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

Adding to 102102121222002 its reverse (200222121201201), we get a palindrome (302324242423203).

The spelling of 102102121222002 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty-two thousand, two".