102200112101 has 8 divisors (see below), whose sum is σ = 104703787608. Its totient is φ = 99696960000.

The previous prime is 102200112029. The next prime is 102200112103. The reversal of 102200112101 is 101211002201.

It can be written as a sum of positive squares in 4 ways, for example, as 264225025 + 101935887076 = 16255^2 + 319274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102200112101 - 2¹⁸ = 102199849957 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 (102200112103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280061 + ... + 531821.

It is an arithmetic number, because the mean of its divisors is an integer number (13087973451).

Almost surely, 2^102200112101 is an apocalyptic number.

It is an amenable number.

102200112101 is a deficient number, since it is larger than the sum of its proper divisors (2503675507).

102200112101 is an equidigital number, since it uses as much as digits as its factorization.

102200112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261703.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102200112101 its reverse (101211002201), we get a palindrome (203411114302).

The spelling of 102200112101 in words is "one hundred two billion, two hundred million, one hundred twelve thousand, one hundred one".