1012102111001 has 2 divisors, whose sum is σ = 1012102111002. Its totient is φ = 1012102111000.

The previous prime is 1012102110979. The next prime is 1012102111051. The reversal of 1012102111001 is 1001112012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 865041365776 + 147060745225 = 930076^2 + 383485^2 .

It is an emirp because it is prime and its reverse (1001112012101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012102111001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012102111051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506051055500 + 506051055501.

It is an arithmetic number, because the mean of its divisors is an integer number (506051055501).

Almost surely, 2^{1012102111001} is an apocalyptic number.

It is an amenable number.

1012102111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012102111001 is an equidigital number, since it uses as much as digits as its factorization.

1012102111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1012102111001 its reverse (1001112012101), we get a palindrome (2013214123102).

The spelling of 1012102111001 in words is "one trillion, twelve billion, one hundred two million, one hundred eleven thousand, one".