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122012101 is a prime number
BaseRepresentation
bin1110100010111…
…00000111000101
322111120212010201
413101130013011
5222213341401
620035050501
73011041261
oct721340705
9274525121
10122012101
1162966552
1234a40a31
131c37ca13
14122c10a1
15aaa1b01
hex745c1c5

122012101 has 2 divisors, whose sum is σ = 122012102. Its totient is φ = 122012100.

The previous prime is 122012087. The next prime is 122012117. The reversal of 122012101 is 101210221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69739201 + 52272900 = 8351^2 + 7230^2 .

It is a cyclic number.

It is not a de Polignac number, because 122012101 - 27 = 122011973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122012131) 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 as a sum of consecutive naturals, namely, 61006050 + 61006051.

It is an arithmetic number, because the mean of its divisors is an integer number (61006051).

Almost surely, 2122012101 is an apocalyptic number.

It is an amenable number.

122012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122012101 is an equidigital number, since it uses as much as digits as its factorization.

122012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 122012101 is about 11045.9087901358. The cubic root of 122012101 is about 495.9839639391.

Adding to 122012101 its reverse (101210221), we get a palindrome (223222322).

The spelling of 122012101 in words is "one hundred twenty-two million, twelve thousand, one hundred one".