42031221101 has 2 divisors, whose sum is σ = 42031221102. Its totient is φ = 42031221100.

The previous prime is 42031221091. The next prime is 42031221109. The reversal of 42031221101 is 10112213024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32077168201 + 9954052900 = 179101^2 + 99770^2 .

It is a cyclic number.

It is not a de Polignac number, because 42031221101 - 2¹⁴ = 42031204717 is a prime.

It is a super-2 number, since 2×42031221101² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42031221101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42031221109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21015610550 + 21015610551.

It is an arithmetic number, because the mean of its divisors is an integer number (21015610551).

Almost surely, 2^42031221101 is an apocalyptic number.

It is an amenable number.

42031221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42031221101 is an equidigital number, since it uses as much as digits as its factorization.

42031221101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 42031221101 its reverse (10112213024), we get a palindrome (52143434125).

The spelling of 42031221101 in words is "forty-two billion, thirty-one million, two hundred twenty-one thousand, one hundred one".