102216612201 has 48 divisors (see below), whose sum is σ = 153849668544. Its totient is φ = 59865216000.

The previous prime is 102216612161. The next prime is 102216612271.

102216612201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102216612201 - 2⁹ = 102216611689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102216612271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27176161 + ... + 27179921.

It is an arithmetic number, because the mean of its divisors is an integer number (3205201428).

Almost surely, 2^102216612201 is an apocalyptic number.

102216612201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102216612201 is a deficient number, since it is larger than the sum of its proper divisors (51633056343).

102216612201 is a wasteful number, since it uses less digits than its factorization.

102216612201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 102216 and 612201, that added together give a palindrome (714417).

The spelling of 102216612201 in words is "one hundred two billion, two hundred sixteen million, six hundred twelve thousand, two hundred one".