102201122210211 has 24 divisors (see below), whose sum is σ = 149086430339184. Its totient is φ = 67459049985600.

The previous prime is 102201122210183. The next prime is 102201122210281. The reversal of 102201122210211 is 112012221102201.

102201122210211 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 1 + 22 + 210 + 211 = 666.

It is not a de Polignac number, because 102201122210211 - 2¹⁴ = 102201122193827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102201122210281) 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, 202079025 + ... + 202584141.

It is an arithmetic number, because the mean of its divisors is an integer number (6211934597466).

Almost surely, 2^{102201122210211} is an apocalyptic number.

102201122210211 is a deficient number, since it is larger than the sum of its proper divisors (46885308128973).

102201122210211 is a wasteful number, since it uses less digits than its factorization.

102201122210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727811 (or 727808 counting only the distinct ones).

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

Adding to 102201122210211 its reverse (112012221102201), we get a palindrome (214213343312412).

The spelling of 102201122210211 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-two million, two hundred ten thousand, two hundred eleven".