102200133101 has 16 divisors (see below), whose sum is σ = 112334627520. Its totient is φ = 92206596480.

The previous prime is 102200133071. The next prime is 102200133131. The reversal of 102200133101 is 101331002201.

It is an interprime number because it is at equal distance from previous prime (102200133071) and next prime (102200133131).

It is a cyclic number.

It is not a de Polignac number, because 102200133101 - 2¹⁰ = 102200132077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200133131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8111915 + ... + 8124503.

It is an arithmetic number, because the mean of its divisors is an integer number (7020914220).

Almost surely, 2^102200133101 is an apocalyptic number.

102200133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102200133101 is a deficient number, since it is larger than the sum of its proper divisors (10134494419).

102200133101 is a wasteful number, since it uses less digits than its factorization.

102200133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18124.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102200133101 its reverse (101331002201), we get a palindrome (203531135302).

The spelling of 102200133101 in words is "one hundred two billion, two hundred million, one hundred thirty-three thousand, one hundred one".