102200222002221 has 96 divisors (see below), whose sum is σ = 171399281264640. Its totient is φ = 57477942741888.

The previous prime is 102200222002181. The next prime is 102200222002223. The reversal of 102200222002221 is 122200222002201.

102200222002221 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 2 + 220 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 102200222002221 - 2¹⁰ = 102200222001197 is a prime.

It is a super-2 number, since 2×102200222002221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200222002194 and 102200222002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200222002223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720831880 + ... + 720973646.

It is an arithmetic number, because the mean of its divisors is an integer number (1785409179840).

Almost surely, 2^{102200222002221} is an apocalyptic number.

It is an amenable number.

102200222002221 is a deficient number, since it is larger than the sum of its proper divisors (69199059262419).

102200222002221 is a wasteful number, since it uses less digits than its factorization.

102200222002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142583 (or 142580 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102200222002221 its reverse (122200222002201), we get a palindrome (224400444004422).

The spelling of 102200222002221 in words is "one hundred two trillion, two hundred billion, two hundred twenty-two million, two thousand, two hundred twenty-one".