102112211201 has 32 divisors (see below), whose sum is σ = 137156882688. Its totient is φ = 73417789440.

The previous prime is 102112211191. The next prime is 102112211281.

102112211201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112211201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112211281) 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 31 ways as a sum of consecutive naturals, for example, 2640461 + ... + 2678853.

It is an arithmetic number, because the mean of its divisors is an integer number (4286152584).

Almost surely, 2^102112211201 is an apocalyptic number.

102112211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112211201 is a deficient number, since it is larger than the sum of its proper divisors (35044671487).

102112211201 is a wasteful number, since it uses less digits than its factorization.

102112211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41081.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 102112 and 211201, that added together give a palindrome (313313).

The spelling of 102112211201 in words is "one hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred one".