102112200101 has 8 divisors (see below), whose sum is σ = 102742799640. Its totient is φ = 101482647552.

The previous prime is 102112200041. The next prime is 102112200107. The reversal of 102112200101 is 101002211201.

It can be written as a sum of positive squares in 4 ways, for example, as 612612001 + 101499588100 = 24751^2 + 318590^2 .

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 102112200101 - 2¹⁴ = 102112183717 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 (102112200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65636 + ... + 456653.

It is an arithmetic number, because the mean of its divisors is an integer number (12842849955).

Almost surely, 2^102112200101 is an apocalyptic number.

It is an amenable number.

102112200101 is a deficient number, since it is larger than the sum of its proper divisors (630599539).

102112200101 is a wasteful number, since it uses less digits than its factorization.

102112200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523495.

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

Adding to 102112200101 its reverse (101002211201), we get a palindrome (203114411302).

The spelling of 102112200101 in words is "one hundred two billion, one hundred twelve million, two hundred thousand, one hundred one".