1012212122101 has 2 divisors, whose sum is σ = 1012212122102. Its totient is φ = 1012212122100.

The previous prime is 1012212122069. The next prime is 1012212122111.

1012212122101 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 878716885201 + 133495236900 = 937399^2 + 365370^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1012212122101 - 2⁵ = 1012212122069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012212122111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506106061050 + 506106061051.

It is an arithmetic number, because the mean of its divisors is an integer number (506106061051).

Almost surely, 2^{1012212122101} is an apocalyptic number.

It is an amenable number.

1012212122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012212122101 is an equidigital number, since it uses as much as digits as its factorization.

1012212122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 1012212122101 in words is "one trillion, twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".