102100121201 has 6 divisors (see below), whose sum is σ = 110558119590. Its totient is φ = 94246265568.

The previous prime is 102100121119. The next prime is 102100121209. The reversal of 102100121201 is 102121001201.

It can be written as a sum of positive squares in 3 ways, for example, as 9766182976 + 92333938225 = 98824^2 + 303865^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102100121201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100121209) 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 5 ways as a sum of consecutive naturals, for example, 302071196 + ... + 302071533.

It is an arithmetic number, because the mean of its divisors is an integer number (18426353265).

Almost surely, 2^102100121201 is an apocalyptic number.

It is an amenable number.

102100121201 is a deficient number, since it is larger than the sum of its proper divisors (8457998389).

102100121201 is an equidigital number, since it uses as much as digits as its factorization.

102100121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604142755 (or 604142742 counting only the distinct ones).

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

Adding to 102100121201 its reverse (102121001201), we get a palindrome (204221122402).

The spelling of 102100121201 in words is "one hundred two billion, one hundred million, one hundred twenty-one thousand, two hundred one".