1020120112001 has 2 divisors, whose sum is σ = 1020120112002. Its totient is φ = 1020120112000.

The previous prime is 1020120111991. The next prime is 1020120112003. The reversal of 1020120112001 is 1002110210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 991109847025 + 29010264976 = 995545^2 + 170324^2 .

It is an emirp because it is prime and its reverse (1002110210201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020120112001 is a prime.

Together with 1020120112003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1020120112003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510060056000 + 510060056001.

It is an arithmetic number, because the mean of its divisors is an integer number (510060056001).

Almost surely, 2^{1020120112001} is an apocalyptic number.

It is an amenable number.

1020120112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020120112001 is an equidigital number, since it uses as much as digits as its factorization.

1020120112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020120112001 its reverse (1002110210201), we get a palindrome (2022230322202).

The spelling of 1020120112001 in words is "one trillion, twenty billion, one hundred twenty million, one hundred twelve thousand, one".