111000001026001 has 2 divisors, whose sum is σ = 111000001026002. Its totient is φ = 111000001026000.

The previous prime is 111000001025929. The next prime is 111000001026041. The reversal of 111000001026001 is 100620100000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102887752089600 + 8112248936401 = 10143360^2 + 2848201^2 .

It is an emirp because it is prime and its reverse (100620100000111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111000001026001 - 2¹¹ = 111000001023953 is a prime.

It is not a weakly prime, because it can be changed into another prime (111000001026041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500000513000 + 55500000513001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500000513001).

Almost surely, 2^{111000001026001} is an apocalyptic number.

It is an amenable number.

111000001026001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000001026001 is an equidigital number, since it uses as much as digits as its factorization.

111000001026001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 111000001026001 its reverse (100620100000111), we get a palindrome (211620101026112).

The spelling of 111000001026001 in words is "one hundred eleven trillion, one million, twenty-six thousand, one".