106101122161 has 4 divisors (see below), whose sum is σ = 106102684324. Its totient is φ = 106099560000.

The previous prime is 106101122147. The next prime is 106101122201. The reversal of 106101122161 is 161221101601.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 161221101601 = 7 ⋅23031585943.

It can be written as a sum of positive squares in 2 ways, for example, as 95169165025 + 10931957136 = 308495^2 + 104556^2 .

It is a cyclic number.

It is not a de Polignac number, because 106101122161 - 2⁵ = 106101122129 is a prime.

It is a super-2 number, since 2×106101122161² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106101122131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 674340 + ... + 816661.

It is an arithmetic number, because the mean of its divisors is an integer number (26525671081).

Almost surely, 2^106101122161 is an apocalyptic number.

It is an amenable number.

106101122161 is a deficient number, since it is larger than the sum of its proper divisors (1562163).

106101122161 is an equidigital number, since it uses as much as digits as its factorization.

106101122161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562162.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 106101122161 its reverse (161221101601), we get a palindrome (267322223762).

The spelling of 106101122161 in words is "one hundred six billion, one hundred one million, one hundred twenty-two thousand, one hundred sixty-one".