101110101202001 has 2 divisors, whose sum is σ = 101110101202002. Its totient is φ = 101110101202000.

The previous prime is 101110101201983. The next prime is 101110101202003. The reversal of 101110101202001 is 100202101011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76819545384976 + 24290555817025 = 8764676^2 + 4928545^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110101202001 - 2¹⁴ = 101110101185617 is a prime.

Together with 101110101202003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101110101202003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555050601000 + 50555050601001.

It is an arithmetic number, because the mean of its divisors is an integer number (50555050601001).

Almost surely, 2^{101110101202001} is an apocalyptic number.

It is an amenable number.

101110101202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110101202001 is an equidigital number, since it uses as much as digits as its factorization.

101110101202001 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 101110101202001 its reverse (100202101011101), we get a palindrome (201312202213102).

The spelling of 101110101202001 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, two hundred two thousand, one".