102100112101201 has 2 divisors, whose sum is σ = 102100112101202. Its totient is φ = 102100112101200.

The previous prime is 102100112101171. The next prime is 102100112101217. The reversal of 102100112101201 is 102101211001201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86272962728976 + 15827149372225 = 9288324^2 + 3978335^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100112101201 - 2³¹ = 102097964617553 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100112101291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050056050600 + 51050056050601.

It is an arithmetic number, because the mean of its divisors is an integer number (51050056050601).

Almost surely, 2^{102100112101201} is an apocalyptic number.

It is an amenable number.

102100112101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100112101201 is an equidigital number, since it uses as much as digits as its factorization.

102100112101201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102100112101201 its reverse (102101211001201), we get a palindrome (204201323102402).

The spelling of 102100112101201 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, one hundred one thousand, two hundred one".