102212229112001 has 2 divisors, whose sum is σ = 102212229112002. Its totient is φ = 102212229112000.

The previous prime is 102212229111997. The next prime is 102212229112031. The reversal of 102212229112001 is 100211922212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98953770897601 + 3258458214400 = 9947551^2 + 1805120^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212229112001 - 2² = 102212229111997 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212229112031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106114556000 + 51106114556001.

It is an arithmetic number, because the mean of its divisors is an integer number (51106114556001).

Almost surely, 2^{102212229112001} is an apocalyptic number.

It is an amenable number.

102212229112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212229112001 is an equidigital number, since it uses as much as digits as its factorization.

102212229112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 102212229112001 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-nine million, one hundred twelve thousand, one".