102201200202101 has 64 divisors (see below), whose sum is σ = 139564424079360. Its totient is φ = 72256361506560.

The previous prime is 102201200202071. The next prime is 102201200202113. The reversal of 102201200202101 is 101202002102201.

It is not a de Polignac number, because 102201200202101 - 2¹⁴ = 102201200185717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201200202191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491089670 + ... + 491297736.

It is an arithmetic number, because the mean of its divisors is an integer number (2180694126240).

Almost surely, 2^{102201200202101} is an apocalyptic number.

102201200202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201200202101 is a deficient number, since it is larger than the sum of its proper divisors (37363223877259).

102201200202101 is a wasteful number, since it uses less digits than its factorization.

102201200202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216474.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102201200202101 its reverse (101202002102201), we get a palindrome (203403202304302).

The spelling of 102201200202101 in words is "one hundred two trillion, two hundred one billion, two hundred million, two hundred two thousand, one hundred one".