42031016101 has 2 divisors, whose sum is σ = 42031016102. Its totient is φ = 42031016100.

The previous prime is 42031016089. The next prime is 42031016119. The reversal of 42031016101 is 10161013024.

42031016101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41024477025 + 1006539076 = 202545^2 + 31726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42031016101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42031016171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21015508050 + 21015508051.

It is an arithmetic number, because the mean of its divisors is an integer number (21015508051).

Almost surely, 2^42031016101 is an apocalyptic number.

It is an amenable number.

42031016101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42031016101 is an equidigital number, since it uses as much as digits as its factorization.

42031016101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 42031016101 its reverse (10161013024), we get a palindrome (52192029125).

The spelling of 42031016101 in words is "forty-two billion, thirty-one million, sixteen thousand, one hundred one".