102102221212002 has 96 divisors (see below), whose sum is σ = 241488997311744. Its totient is φ = 30920010962400.

The previous prime is 102102221212001. The next prime is 102102221212003. The reversal of 102102221212002 is 200212122201201.

It is a happy number.

102102221212002 is a `hidden beast` number, since 10 + 210 + 2 + 221 + 21 + 200 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102102221212001) and next prime (102102221212003).

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 (102102221212001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576621493 + ... + 3576650039.

It is an arithmetic number, because the mean of its divisors is an integer number (2515510388664).

Almost surely, 2^{102102221212002} is an apocalyptic number.

102102221212002 is an abundant number, since it is smaller than the sum of its proper divisors (139386776099742).

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

102102221212002 is a wasteful number, since it uses less digits than its factorization.

102102221212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39644 (or 39641 counting only the distinct ones).

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

Adding to 102102221212002 its reverse (200212122201201), we get a palindrome (302314343413203).

The spelling of 102102221212002 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-one million, two hundred twelve thousand, two".