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122022111022121 is a prime number
BaseRepresentation
bin11011101111101001111100…
…100101010000110000101001
3121000001012101201102012002202
4123233221330211100300221
5111443202240410201441
61111304103421505545
734462543443240452
oct3357517445206051
9530035351365082
10122022111022121
11359753176201a2
12118288521122b5
13531183581568b
14221bc8a320129
15e1911d89219b
hex6efa7c950c29

122022111022121 has 2 divisors, whose sum is σ = 122022111022122. Its totient is φ = 122022111022120.

The previous prime is 122022111022117. The next prime is 122022111022139. The reversal of 122022111022121 is 121220111220221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62802375792025 + 59219735230096 = 7924795^2 + 7695436^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022111022121 - 22 = 122022111022117 is a prime.

It is a super-4 number, since 4×1220221110221214 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122022111022093 and 122022111022102.

It is not a weakly prime, because it can be changed into another prime (122022111022111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011055511060 + 61011055511061.

It is an arithmetic number, because the mean of its divisors is an integer number (61011055511061).

Almost surely, 2122022111022121 is an apocalyptic number.

It is an amenable number.

122022111022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022111022121 is an equidigital number, since it uses as much as digits as its factorization.

122022111022121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122022111022121 its reverse (121220111220221), we get a palindrome (243242222242342).

The spelling of 122022111022121 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred twenty-one".