102211022201211 has 384 divisors, whose sum is σ = 190391576094720. Its totient is φ = 51318315417600.

The previous prime is 102211022201083. The next prime is 102211022201221. The reversal of 102211022201211 is 112102220112201.

102211022201211 is a `hidden beast` number, since 1 + 0 + 221 + 10 + 2 + 220 + 1 + 211 = 666.

It is not a de Polignac number, because 102211022201211 - 2⁷ = 102211022201083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102211022201221) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 274024188021 + ... + 274024188393.

It is an arithmetic number, because the mean of its divisors is an integer number (495811396080).

Almost surely, 2^{102211022201211} is an apocalyptic number.

102211022201211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102211022201211 is a deficient number, since it is larger than the sum of its proper divisors (88180553893509).

102211022201211 is a wasteful number, since it uses less digits than its factorization.

102211022201211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1024 counting only the distinct ones).

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

Adding to 102211022201211 its reverse (112102220112201), we get a palindrome (214313242313412).

The spelling of 102211022201211 in words is "one hundred two trillion, two hundred eleven billion, twenty-two million, two hundred one thousand, two hundred eleven".