102200210122221 has 24 divisors (see below), whose sum is σ = 156308131774080. Its totient is φ = 64124831039616.

The previous prime is 102200210122181. The next prime is 102200210122223. The reversal of 102200210122221 is 122221012002201.

It is a happy number.

102200210122221 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 210 + 12 + 2 + 221 = 666.

It is not a de Polignac number, because 102200210122221 - 2¹⁹ = 102200209597933 is a prime.

It is a super-2 number, since 2×102200210122221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200210122194 and 102200210122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200210122223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8449260 + ... + 16606938.

It is an arithmetic number, because the mean of its divisors is an integer number (6512838823920).

Almost surely, 2^{102200210122221} is an apocalyptic number.

It is an amenable number.

102200210122221 is a deficient number, since it is larger than the sum of its proper divisors (54107921651859).

102200210122221 is a wasteful number, since it uses less digits than its factorization.

102200210122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8239585 (or 8239582 counting only the distinct ones).

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

Adding to 102200210122221 its reverse (122221012002201), we get a palindrome (224421222124422).

The spelling of 102200210122221 in words is "one hundred two trillion, two hundred billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty-one".