102211310201 has 32 divisors (see below), whose sum is σ = 137376546048. Its totient is φ = 73442672640.

The previous prime is 102211310167. The next prime is 102211310237. The reversal of 102211310201 is 102013112201.

It is a cyclic number.

It is not a de Polignac number, because 102211310201 - 2¹⁸ = 102211048057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102211310261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925721 + ... + 1030233.

It is an arithmetic number, because the mean of its divisors is an integer number (4293017064).

Almost surely, 2^102211310201 is an apocalyptic number.

102211310201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102211310201 is a deficient number, since it is larger than the sum of its proper divisors (35165235847).

102211310201 is a wasteful number, since it uses less digits than its factorization.

102211310201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105521.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102211310201 its reverse (102013112201), we get a palindrome (204224422402).

The spelling of 102211310201 in words is "one hundred two billion, two hundred eleven million, three hundred ten thousand, two hundred one".