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110211012121 = 7217132306137
BaseRepresentation
bin110011010100100010…
…1101001011000011001
3101112110210110111120211
41212221011221120121
53301203004341441
6122344044251121
710651063101100
oct1465105513031
9345423414524
10110211012121
11428162746a1
1219439540aa1
13a51513b652
145497231037
152d008c9a81
hex19a9169619

110211012121 has 12 divisors (see below), whose sum is σ = 135746097588. Its totient is φ = 88909723392.

The previous prime is 110211012103. The next prime is 110211012139. The reversal of 110211012121 is 121210112011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110211012103) and next prime (110211012139).

It can be written as a sum of positive squares in 2 ways, for example, as 80372250000 + 29838762121 = 283500^2 + 172739^2 .

It is not a de Polignac number, because 110211012121 - 211 = 110211010073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110211012161) 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 11 ways as a sum of consecutive naturals, for example, 66152236 + ... + 66153901.

It is an arithmetic number, because the mean of its divisors is an integer number (11312174799).

Almost surely, 2110211012121 is an apocalyptic number.

It is an amenable number.

110211012121 is a deficient number, since it is larger than the sum of its proper divisors (25535085467).

110211012121 is a wasteful number, since it uses less digits than its factorization.

110211012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132306168 (or 132306161 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110211012121 its reverse (121210112011), we get a palindrome (231421124132).

The spelling of 110211012121 in words is "one hundred ten billion, two hundred eleven million, twelve thousand, one hundred twenty-one".

Divisors: 1 7 17 49 119 833 132306137 926142959 2249204329 6483000713 15744430303 110211012121