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122112100973 is a prime number
BaseRepresentation
bin111000110111001110…
…0101100101001101101
3102200012012110110100102
41301232130230221231
54000041144212343
6132033022040445
711552023506122
oct1615634545155
9380165413312
10122112100973
1147873108915
121b7bb119125
13b690951165
145ca5a62749
15329a60d3b8
hex1c6e72ca6d

122112100973 has 2 divisors, whose sum is σ = 122112100974. Its totient is φ = 122112100972.

The previous prime is 122112100933. The next prime is 122112101047. The reversal of 122112100973 is 379001211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108545209444 + 13566891529 = 329462^2 + 116477^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112100973 - 26 = 122112100909 is a prime.

It is a super-2 number, since 2×1221121009732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112100933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056050486 + 61056050487.

It is an arithmetic number, because the mean of its divisors is an integer number (61056050487).

Almost surely, 2122112100973 is an apocalyptic number.

It is an amenable number.

122112100973 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112100973 is an equidigital number, since it uses as much as digits as its factorization.

122112100973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 122112100973 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thousand, nine hundred seventy-three".