111000100020001 has 2 divisors, whose sum is σ = 111000100020002. Its totient is φ = 111000100020000.

The previous prime is 111000100019989. The next prime is 111000100020013. The reversal of 111000100020001 is 100020001000111.

It is a balanced prime because it is at equal distance from previous prime (111000100019989) and next prime (111000100020013).

It can be written as a sum of positive squares in only one way, i.e., 69011980949025 + 41988119070976 = 8307345^2 + 6479824^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000100020001 - 2³⁷ = 110862661066529 is a prime.

It is not a weakly prime, because it can be changed into another prime (111000100020071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500050010000 + 55500050010001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500050010001).

Almost surely, 2^{111000100020001} is an apocalyptic number.

It is an amenable number.

111000100020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000100020001 is an equidigital number, since it uses as much as digits as its factorization.

111000100020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 111000100020001 its reverse (100020001000111), we get a palindrome (211020101020112).

It can be divided in two parts, 111000 and 100020001, that added together give a palindrome (100131001).

The spelling of 111000100020001 in words is "one hundred eleven trillion, one hundred million, twenty thousand, one".