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122012144101 is a prime number
BaseRepresentation
bin111000110100001111…
…1011001000111100101
3102122221020101010022001
41301220133121013211
53444340102102401
6132015051405301
711546401053511
oct1615037310745
9378836333261
10122012144101
1147821746831
121b791753831
13b676024193
145c96683141
153291966601
hex1c687d91e5

122012144101 has 2 divisors, whose sum is σ = 122012144102. Its totient is φ = 122012144100.

The previous prime is 122012144087. The next prime is 122012144173. The reversal of 122012144101 is 101441210221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75171930625 + 46840213476 = 274175^2 + 216426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122012144101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122012148101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006072050 + 61006072051.

It is an arithmetic number, because the mean of its divisors is an integer number (61006072051).

Almost surely, 2122012144101 is an apocalyptic number.

It is an amenable number.

122012144101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122012144101 is an equidigital number, since it uses as much as digits as its factorization.

122012144101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122012144101 its reverse (101441210221), we get a palindrome (223453354322).

The spelling of 122012144101 in words is "one hundred twenty-two billion, twelve million, one hundred forty-four thousand, one hundred one".