102221121222100 has 36 divisors (see below), whose sum is σ = 221829931092924. Its totient is φ = 40886587098880.

The previous prime is 102221121222089. The next prime is 102221121222107. The reversal of 102221121222100 is 1222121122201.

102221121222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 241863305616 + 101979257916484 = 491796^2 + 10098478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221121222107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21058687 + ... + 25454086.

It is an arithmetic number, because the mean of its divisors is an integer number (6161942530359).

Almost surely, 2^{102221121222100} is an apocalyptic number.

102221121222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221121222100 is an abundant number, since it is smaller than the sum of its proper divisors (119608809870824).

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

102221121222100 is a wasteful number, since it uses less digits than its factorization.

102221121222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46534764 (or 46534757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102221121222100 its reverse (1222121122201), we get a palindrome (103443242344301).

The spelling of 102221121222100 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".