42141221000101 has 2 divisors, whose sum is σ = 42141221000102. Its totient is φ = 42141221000100.

The previous prime is 42141221000089. The next prime is 42141221000111. The reversal of 42141221000101 is 10100012214124.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42140883543201 + 337456900 = 6491601^2 + 18370^2 .

It is a cyclic number.

It is not a de Polignac number, because 42141221000101 - 2³⁵ = 42106861261733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42141221000111) 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, 21070610500050 + 21070610500051.

It is an arithmetic number, because the mean of its divisors is an integer number (21070610500051).

Almost surely, 2^{42141221000101} is an apocalyptic number.

It is an amenable number.

42141221000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42141221000101 is an equidigital number, since it uses as much as digits as its factorization.

42141221000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 42141221000101 its reverse (10100012214124), we get a palindrome (52241233214225).

The spelling of 42141221000101 in words is "forty-two trillion, one hundred forty-one billion, two hundred twenty-one million, one hundred one", and thus it is an aban number.