102201001110111 has 24 divisors (see below), whose sum is σ = 139606354824960. Its totient is φ = 66503870744976.

The previous prime is 102201001110083. The next prime is 102201001110133. The reversal of 102201001110111 is 111011100102201.

It is not a de Polignac number, because 102201001110111 - 2¹⁷ = 102201000979039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201001110211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778970 + ... + 14407176.

It is an arithmetic number, because the mean of its divisors is an integer number (5816931451040).

Almost surely, 2^{102201001110111} is an apocalyptic number.

102201001110111 is a deficient number, since it is larger than the sum of its proper divisors (37405353714849).

102201001110111 is a wasteful number, since it uses less digits than its factorization.

102201001110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629755 (or 12629712 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102201001110111 its reverse (111011100102201), we get a palindrome (213212101212312).

The spelling of 102201001110111 in words is "one hundred two trillion, two hundred one billion, one million, one hundred ten thousand, one hundred eleven".