101042211001 has 2 divisors, whose sum is σ = 101042211002. Its totient is φ = 101042211000.

The previous prime is 101042210987. The next prime is 101042211013. The reversal of 101042211001 is 100112240101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80827058601 + 20215152400 = 284301^2 + 142180^2 .

It is an emirp because it is prime and its reverse (100112240101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101042211001 - 2⁷ = 101042210873 is a prime.

It is not a weakly prime, because it can be changed into another prime (101042211601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50521105500 + 50521105501.

It is an arithmetic number, because the mean of its divisors is an integer number (50521105501).

Almost surely, 2^101042211001 is an apocalyptic number.

It is an amenable number.

101042211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101042211001 is an equidigital number, since it uses as much as digits as its factorization.

101042211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101042211001 its reverse (100112240101), we get a palindrome (201154451102).

The spelling of 101042211001 in words is "one hundred one billion, forty-two million, two hundred eleven thousand, one".