102222021221000 has 32 divisors (see below), whose sum is σ = 239199529659480. Its totient is φ = 40888808488000.

The previous prime is 102222021220993. The next prime is 102222021221051. The reversal of 102222021221000 is 122120222201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4722946018756 + 97499075202244 = 2173234^2 + 9874162^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102222021221000.

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 7 ways as a sum of consecutive naturals, for example, 51111009611 + ... + 51111011610.

Almost surely, 2^{102222021221000} is an apocalyptic number.

102222021221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222021221000 is an abundant number, since it is smaller than the sum of its proper divisors (136977508438480).

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

102222021221000 is a wasteful number, since it uses less digits than its factorization.

102222021221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102222021242 (or 102222021228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102222021221000 its reverse (122120222201), we get a palindrome (102344141443201).

The spelling of 102222021221000 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-one million, two hundred twenty-one thousand".