201612216102 has 64 divisors (see below), whose sum is σ = 443725095168. Its totient is φ = 61065892800.

The previous prime is 201612216101. The next prime is 201612216139.

201612216102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201612216101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22172577 + ... + 22181667.

It is an arithmetic number, because the mean of its divisors is an integer number (6933204612).

Almost surely, 2^201612216102 is an apocalyptic number.

201612216102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201612216102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221862547584).

201612216102 is an abundant number, since it is smaller than the sum of its proper divisors (242112879066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201612216102 is a wasteful number, since it uses less digits than its factorization.

201612216102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11906 (or 11884 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, 201612 and 216102, that added together give a palindrome (417714).

The spelling of 201612216102 in words is "two hundred one billion, six hundred twelve million, two hundred sixteen thousand, one hundred two".