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122031201121 is a prime number
BaseRepresentation
bin111000110100110100…
…0000101101101100001
3102122222120020022121121
41301221220011231201
53444404441413441
6132021012052241
711550022044364
oct1615150055541
9378876208547
10122031201121
1147831482635
121b798004081
13b679c6731b
145c990040db
15329347cdd1
hex1c69a05b61

122031201121 has 2 divisors, whose sum is σ = 122031201122. Its totient is φ = 122031201120.

The previous prime is 122031201107. The next prime is 122031201139. The reversal of 122031201121 is 121102130221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121003101025 + 1028100096 = 347855^2 + 32064^2 .

It is an emirp because it is prime and its reverse (121102130221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122031201121 is a prime.

It is a super-2 number, since 2×1220312011212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122031201095 and 122031201104.

It is not a weakly prime, because it can be changed into another prime (122031201421) 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 as a sum of consecutive naturals, namely, 61015600560 + 61015600561.

It is an arithmetic number, because the mean of its divisors is an integer number (61015600561).

Almost surely, 2122031201121 is an apocalyptic number.

It is an amenable number.

122031201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122031201121 is an equidigital number, since it uses as much as digits as its factorization.

122031201121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122031201121 its reverse (121102130221), we get a palindrome (243133331342).

The spelling of 122031201121 in words is "one hundred twenty-two billion, thirty-one million, two hundred one thousand, one hundred twenty-one".