42122100101 has 2 divisors, whose sum is σ = 42122100102. Its totient is φ = 42122100100.

The previous prime is 42122100079. The next prime is 42122100131. The reversal of 42122100101 is 10100122124.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42117711076 + 4389025 = 205226^2 + 2095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42122100101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42122100131) 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, 21061050050 + 21061050051.

It is an arithmetic number, because the mean of its divisors is an integer number (21061050051).

Almost surely, 2^42122100101 is an apocalyptic number.

It is an amenable number.

42122100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42122100101 is an equidigital number, since it uses as much as digits as its factorization.

42122100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 42122100101 its reverse (10100122124), we get a palindrome (52222222225).

The spelling of 42122100101 in words is "forty-two billion, one hundred twenty-two million, one hundred thousand, one hundred one".