102012012001201 has 12 divisors (see below), whose sum is σ = 102355849930548. Its totient is φ = 101669324716512.

The previous prime is 102012012001189. The next prime is 102012012001223. The reversal of 102012012001201 is 102100210210201.

It can be written as a sum of positive squares in 2 ways, for example, as 49719082982976 + 52292929018225 = 7051176^2 + 7231385^2 .

It is not a de Polignac number, because 102012012001201 - 2¹¹ = 102012011999153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102012012001001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021326475 + ... + 1021426351.

It is an arithmetic number, because the mean of its divisors is an integer number (8529654160879).

Almost surely, 2^{102012012001201} is an apocalyptic number.

It is an amenable number.

102012012001201 is a deficient number, since it is larger than the sum of its proper divisors (343837929347).

102012012001201 is an frugal number, since it uses more digits than its factorization.

102012012001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111328 (or 111021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102012012001201 its reverse (102100210210201), we get a palindrome (204112222211402).

The spelling of 102012012001201 in words is "one hundred two trillion, twelve billion, twelve million, one thousand, two hundred one".