102102200202101 has 12 divisors (see below), whose sum is σ = 112241048316096. Its totient is φ = 92809421787720.

The previous prime is 102102200202077. The next prime is 102102200202131. The reversal of 102102200202101 is 101202002201201.

It is a de Polignac number, because none of the positive numbers 2^k-102102200202101 is a prime.

It is a super-2 number, since 2×102102200202101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102200202131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47861885 + ... + 49949618.

It is an arithmetic number, because the mean of its divisors is an integer number (9353420693008).

Almost surely, 2^{102102200202101} is an apocalyptic number.

102102200202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102200202101 is a deficient number, since it is larger than the sum of its proper divisors (10138848113995).

102102200202101 is an equidigital number, since it uses as much as digits as its factorization.

102102200202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97820152 (or 97820141 counting only the distinct ones).

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

Adding to 102102200202101 its reverse (101202002201201), we get a palindrome (203304202403302).

The spelling of 102102200202101 in words is "one hundred two trillion, one hundred two billion, two hundred million, two hundred two thousand, one hundred one".