101112001210001 has 2 divisors, whose sum is σ = 101112001210002. Its totient is φ = 101112001210000.

The previous prime is 101112001209977. The next prime is 101112001210021. The reversal of 101112001210001 is 100012100211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97084052559376 + 4027948650625 = 9853124^2 + 2006975^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112001210001 - 2⁴⁶ = 30743257032337 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112001210021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556000605000 + 50556000605001.

It is an arithmetic number, because the mean of its divisors is an integer number (50556000605001).

Almost surely, 2^{101112001210001} is an apocalyptic number.

It is an amenable number.

101112001210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112001210001 is an equidigital number, since it uses as much as digits as its factorization.

101112001210001 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 101112001210001 its reverse (100012100211101), we get a palindrome (201124101421102).

The spelling of 101112001210001 in words is "one hundred one trillion, one hundred twelve billion, one million, two hundred ten thousand, one".