106120229121 has 9 divisors (see below), whose sum is σ = 153286187041. Its totient is φ = 70746167892.

The previous prime is 106120229071. The next prime is 106120229129. The reversal of 106120229121 is 121922021601.

The square root of 106120229121 is 325761.

It is a perfect power (a square), and thus also a powerful number.

106120229121 is a `hidden beast` number, since 1 + 0 + 612 + 0 + 2 + 29 + 1 + 21 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 106120229121 - 2²⁵ = 106086674689 is a prime.

It is a super-2 number, since 2×106120229121² (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 (106120229129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 922990 + ... + 1031576.

Almost surely, 2^106120229121 is an apocalyptic number.

106120229121 is the 325761-st square number.

106120229121 is the 162881-st centered octagonal number.

It is an amenable number.

106120229121 is a deficient number, since it is larger than the sum of its proper divisors (47165957920).

106120229121 is an frugal number, since it uses more digits than its factorization.

106120229121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217180 (or 108590 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

It can be divided in two parts, 106120 and 229121, that added together give a square (335241 = 579²).

The spelling of 106120229121 in words is "one hundred six billion, one hundred twenty million, two hundred twenty-nine thousand, one hundred twenty-one".