101011112002001 has 2 divisors, whose sum is σ = 101011112002002. Its totient is φ = 101011112002000.

The previous prime is 101011112001983. The next prime is 101011112002013. The reversal of 101011112002001 is 100200211110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64365704934976 + 36645407067025 = 8022824^2 + 6053545^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011112002001 - 2⁴² = 96613065490897 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011112002201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505556001000 + 50505556001001.

It is an arithmetic number, because the mean of its divisors is an integer number (50505556001001).

Almost surely, 2^{101011112002001} is an apocalyptic number.

It is an amenable number.

101011112002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011112002001 is an equidigital number, since it uses as much as digits as its factorization.

101011112002001 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 101011112002001 its reverse (100200211110101), we get a palindrome (201211323112102).

The spelling of 101011112002001 in words is "one hundred one trillion, eleven billion, one hundred twelve million, two thousand, one".