102211110001 has 48 divisors (see below), whose sum is σ = 139002127488. Its totient is φ = 72583430400.

The previous prime is 102211109999. The next prime is 102211110007. The reversal of 102211110001 is 100011112201.

It is not a de Polignac number, because 102211110001 - 2¹ = 102211109999 is a prime.

It is a super-2 number, since 2×102211110001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102211110001.

It is not an unprimeable number, because it can be changed into a prime (102211110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6239061 + ... + 6255421.

It is an arithmetic number, because the mean of its divisors is an integer number (2895877656).

Almost surely, 2^102211110001 is an apocalyptic number.

102211110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102211110001 is a deficient number, since it is larger than the sum of its proper divisors (36791017487).

102211110001 is a wasteful number, since it uses less digits than its factorization.

102211110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16550 (or 16471 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102211110001 its reverse (100011112201), we get a palindrome (202222222202).

It can be divided in two parts, 102211 and 110001, that added together give a palindrome (212212).

The spelling of 102211110001 in words is "one hundred two billion, two hundred eleven million, one hundred ten thousand, one".