102200102101 has 4 divisors (see below), whose sum is σ = 102200935104. Its totient is φ = 102199269100.

The previous prime is 102200102083. The next prime is 102200102129. The reversal of 102200102101 is 101201002201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 102200102101 - 2²⁵ = 102166547669 is a prime.

It is a super-3 number, since 3×102200102101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200132101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192205 + ... + 491266.

It is an arithmetic number, because the mean of its divisors is an integer number (25550233776).

Almost surely, 2^102200102101 is an apocalyptic number.

It is an amenable number.

102200102101 is a deficient number, since it is larger than the sum of its proper divisors (833003).

102200102101 is an equidigital number, since it uses as much as digits as its factorization.

102200102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833002.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102200102101 its reverse (101201002201), we get a palindrome (203401104302).

The spelling of 102200102101 in words is "one hundred two billion, two hundred million, one hundred two thousand, one hundred one".