1010120110001 has 2 divisors, whose sum is σ = 1010120110002. Its totient is φ = 1010120110000.

The previous prime is 1010120109919. The next prime is 1010120110063. The reversal of 1010120110001 is 1000110210101.

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., 599732531776 + 410387578225 = 774424^2 + 640615^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010120110001 - 2¹⁸ = 1010119847857 is a prime.

It is a super-4 number, since 4×1010120110001⁴ (a number of 49 digits) contains 4444 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1010120118001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060055000 + 505060055001.

It is an arithmetic number, because the mean of its divisors is an integer number (505060055001).

Almost surely, 2^{1010120110001} is an apocalyptic number.

It is an amenable number.

1010120110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010120110001 is an equidigital number, since it uses as much as digits as its factorization.

1010120110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010120110001 its reverse (1000110210101), we get a palindrome (2010230320102).

The spelling of 1010120110001 in words is "one trillion, ten billion, one hundred twenty million, one hundred ten thousand, one".