102221100121122 has 96 divisors (see below), whose sum is σ = 235377286026480. Its totient is φ = 32000244756480.

The previous prime is 102221100121067. The next prime is 102221100121123. The reversal of 102221100121122 is 221121001122201.

102221100121122 is a `hidden beast` number, since 102 + 221 + 100 + 121 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 94875216832881 + 7345883288241 = 9740391^2 + 2710329^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102221100121095 and 102221100121104.

It is not an unprimeable number, because it can be changed into a prime (102221100121123) by changing a digit.

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, 65534122 + ... + 67075802.

Almost surely, 2^{102221100121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221100121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117688643013240).

102221100121122 is an abundant number, since it is smaller than the sum of its proper divisors (133156185905358).

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

102221100121122 is a wasteful number, since it uses less digits than its factorization.

102221100121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545188 (or 1545185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102221100121122 its reverse (221121001122201), we get a palindrome (323342101243323).

The spelling of 102221100121122 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-two".