106421101 has 2 divisors, whose sum is σ = 106421102. Its totient is φ = 106421100.

The previous prime is 106421099. The next prime is 106421131. The reversal of 106421101 is 101124601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64818601 + 41602500 = 8051^2 + 6450^2 .

It is a cyclic number.

It is not a de Polignac number, because 106421101 - 2¹ = 106421099 is a prime.

It is a super-3 number, since 3×106421101³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 106421099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106421131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53210550 + 53210551.

It is an arithmetic number, because the mean of its divisors is an integer number (53210551).

Almost surely, 2^106421101 is an apocalyptic number.

It is an amenable number.

106421101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106421101 is an equidigital number, since it uses as much as digits as its factorization.

106421101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 106421101 is about 10316.0603429798. The cubic root of 106421101 is about 473.8882230928. Note that the first 3 decimals are identical.

Adding to 106421101 its reverse (101124601), we get a palindrome (207545702).

The spelling of 106421101 in words is "one hundred six million, four hundred twenty-one thousand, one hundred one".