111012100201001 has 2 divisors, whose sum is σ = 111012100201002. Its totient is φ = 111012100201000.

The previous prime is 111012100200977. The next prime is 111012100201033. The reversal of 111012100201001 is 100102001210111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77388106296601 + 33623993904400 = 8797051^2 + 5798620^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012100201001 - 2³⁸ = 110737222294057 is a prime.

It is not a weakly prime, because it can be changed into another prime (111012100204001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506050100500 + 55506050100501.

It is an arithmetic number, because the mean of its divisors is an integer number (55506050100501).

Almost surely, 2^{111012100201001} is an apocalyptic number.

It is an amenable number.

111012100201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012100201001 is an equidigital number, since it uses as much as digits as its factorization.

111012100201001 is an evil number, because the sum of its binary digits is even.

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

Adding to 111012100201001 its reverse (100102001210111), we get a palindrome (211114101411112).

The spelling of 111012100201001 in words is "one hundred eleven trillion, twelve billion, one hundred million, two hundred one thousand, one".