101122222221061 has 2 divisors, whose sum is σ = 101122222221062. Its totient is φ = 101122222221060.

The previous prime is 101122222221019. The next prime is 101122222221151. The reversal of 101122222221061 is 160122222221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69356666644225 + 31765555576836 = 8328065^2 + 5636094^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122222221061 is a prime.

It is a super-3 number, since 3×101122222221061³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122222221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561111110530 + 50561111110531.

It is an arithmetic number, because the mean of its divisors is an integer number (50561111110531).

Almost surely, 2^{101122222221061} is an apocalyptic number.

It is an amenable number.

101122222221061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122222221061 is an equidigital number, since it uses as much as digits as its factorization.

101122222221061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 101122222221061 its reverse (160122222221101), we get a palindrome (261244444442162).

The spelling of 101122222221061 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, sixty-one".